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Pith Number

pith:3CUZQBFH

pith:2016:3CUZQBFHGCDQ2C4KIVNLY3MW3L
not attested not anchored not stored refs pending

Growth and dissolution of macromolecular Markov chains

Pierre Gaspard

arxiv:1604.08011 v1 · 2016-04-27 · physics.chem-ph · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3CUZQBFHGCDQ2C4KIVNLY3MW3L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.
Receipt and verification
First computed 2026-05-18T00:26:52.048948Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d8a99804a730870d0b8a455abc6d96dadd61294ba4857b03dbc2dd70fa221073

Aliases

arxiv: 1604.08011 · arxiv_version: 1604.08011v1 · doi: 10.48550/arxiv.1604.08011 · pith_short_12: 3CUZQBFHGCDQ · pith_short_16: 3CUZQBFHGCDQ2C4K · pith_short_8: 3CUZQBFH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3CUZQBFHGCDQ2C4KIVNLY3MW3L \
  | 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: d8a99804a730870d0b8a455abc6d96dadd61294ba4857b03dbc2dd70fa221073
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "87c0cba674350995740f1eed940473090a313d3b2fa106017c968225fb33b88d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2016-04-27T10:40:48Z",
    "title_canon_sha256": "a96e167c2d220d039c52d128b145c13311a42c64f2cd4265f10a859273e13c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08011",
    "kind": "arxiv",
    "version": 1
  }
}