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Pith Number

pith:JDQ2IROO

pith:2012:JDQ2IROOYOJAKK5NYLKKVM37ZD
not attested not anchored not stored refs pending

Nonlinear elastic free energies and gradient Young-Gibbs measures

Roman Koteck\'y, Stephan Luckhaus

arxiv:1206.6009 v1 · 2012-06-26 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JDQ2IROOYOJAKK5NYLKKVM37ZD}

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 2026-05-18T03:52:37.349006Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

48e1a445cec392052badc2d4aab37fc8e8b4a19fefd81f39f77ec2cc6679c019

Aliases

arxiv: 1206.6009 · arxiv_version: 1206.6009v1 · doi: 10.48550/arxiv.1206.6009 · pith_short_12: JDQ2IROOYOJA · pith_short_16: JDQ2IROOYOJAKK5N · pith_short_8: JDQ2IROO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JDQ2IROOYOJAKK5NYLKKVM37ZD \
  | 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: 48e1a445cec392052badc2d4aab37fc8e8b4a19fefd81f39f77ec2cc6679c019
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e583b838eff9e48f4b3424d63f50283a04ec2707e4e4289b294bdc877bf6210b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-26T14:47:58Z",
    "title_canon_sha256": "da2844e63861d977a2109eadb375961cef44edc843398e103ed81fde85fa9421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6009",
    "kind": "arxiv",
    "version": 1
  }
}