Pith Number

pith:Q2MJVBOF

pith:2026:Q2MJVBOF46SJ3JMTGFBKUJNNHZ

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Coherent modeling of double-folded ring polymers and their underlying random tree structure

Angelo Rosa, Elham Ghobadpour, Pieter H. W. van der Hoek, Ralf Everaers

Expressions for the configurational entropy of double-folded ring polymers match those of their underlying random trees up to a wrapping factor.

arxiv:2605.18355 v1 · 2026-05-18 · cond-mat.soft

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\pithnumber{Q2MJVBOF46SJ3JMTGFBKUJNNHZ}

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4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The expressions for the configurational entropy in ensembles with controlled branching activity for folded ring polymers and for the underlying random trees are equivalent up to a contribution originating from the number of distinct wrappings of a single tree.

C2weakest assumption

Interactions are treated consistently on the tree and on the ring level so that the equivalence extends to interacting systems.

C3one line summary

Configurational entropies of double-folded ring polymers and random trees are equivalent up to a wrapping contribution, enabling a coherent framework and a generalized Amoeba Monte Carlo algorithm for fluctuating tree sizes.

References

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[1] For the sake of completeness we review in Sec

[2] semi-grand canonical

[3] J. F. Marko and E. D. Siggia, Fluctuations and super- coiling of DNA, Science265, 506 (1994) 1994

[4] J. F. Marko and E. D. Siggia, Statistical mechanics of supercoiled DNA, Phys. Rev. E52, 2912 (1995) 1995

[5] C. L. Woldringh and T. Odijk, Structure of dna within the bacterial cell: Physics and physiology, inOrganiza- tion of the Prokaryotic Genome(1999) pp. 171–187 1999

Receipt and verification

First computed	2026-05-20T00:05:56.814507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86989a85c5e7a49da5933142aa25ad3e5ae3f110809778bafa4a95b21680c645

Aliases

arxiv: 2605.18355 · arxiv_version: 2605.18355v1 · doi: 10.48550/arxiv.2605.18355 · pith_short_12: Q2MJVBOF46SJ · pith_short_16: Q2MJVBOF46SJ3JMT · pith_short_8: Q2MJVBOF

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q2MJVBOF46SJ3JMTGFBKUJNNHZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 86989a85c5e7a49da5933142aa25ad3e5ae3f110809778bafa4a95b21680c645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2fdfa84e93af4231e870900cb9be57af05c90e61fd10cf4b46672d8c113475e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-05-18T13:11:14Z",
    "title_canon_sha256": "4ecd286c4d4a6af3100b9fa09054565c05dba77d70446871ba96a77a11819c78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18355",
    "kind": "arxiv",
    "version": 1
  }
}