Pith Number

pith:XLQ3CL2W

pith:2026:XLQ3CL2W6SPPBEETSYV6O2UBLS

not attested not anchored not stored refs pending

Universal Scaling of Macroscopic Softening and Microscopic Scission in Phantom Chain Networks

Yuichi Masubuchi

Fracture in phantom-chain polymer networks decouples into two universal master curves, one for macroscopic softening by absolute stretch and one for microscopic scission by relative stretch.

arxiv:2602.23669 v3 · 2026-02-27 · cond-mat.soft

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\usepackage{pith}
\pithnumber{XLQ3CL2W6SPPBEETSYV6O2UBLS}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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 apparent complexity of fracture in phantom-chain polymer networks is fully decoupled into two universal master curves: (i) macroscopic softening governed by the absolute stretch, and (ii) microscopic scission governed solely by the relative stretch.

C2weakest assumption

That the previously proposed network mechanics model supplies an accurate, parameter-light description of microscopic damage growth that remains valid across the full range of stretches and concentrations examined.

C3one line summary

Phantom-chain networks decouple fracture into universal softening (absolute stretch) and scission (relative stretch) master curves, producing the scaling σ_nb / G ∝ (c / c*)^{-1/3}.

Receipt and verification

First computed	2026-05-22T02:04:40.261776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bae1b12f56f49ef09093962be76a815cb533d91c80af683cd62c69a648dd3867

Aliases

arxiv: 2602.23669 · arxiv_version: 2602.23669v3 · doi: 10.48550/arxiv.2602.23669 · pith_short_12: XLQ3CL2W6SPP · pith_short_16: XLQ3CL2W6SPPBEET · pith_short_8: XLQ3CL2W

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XLQ3CL2W6SPPBEETSYV6O2UBLS \
  | 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: bae1b12f56f49ef09093962be76a815cb533d91c80af683cd62c69a648dd3867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1b03e6b80b589d01fe8ee83772f45b52d4aed57e1ac016caf4b47497232583",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-02-27T04:30:55Z",
    "title_canon_sha256": "f19a41a30370ebb6c2632341e98d86a06f1290f3dbf2dfc91cfa00a1d7d54f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.23669",
    "kind": "arxiv",
    "version": 3
  }
}