Pith Number

pith:5AHAMMME

pith:2013:5AHAMMMEI7DMG2XY3THTSFM2XV

not attested not anchored not stored refs pending

Ising-like phase transition of an n-component Eulerian face-cubic model

Chengxiang Ding, Wenan Guo, Youjin Deng

arxiv:1312.0228 v1 · 2013-12-01 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AHAMMMEI7DMG2XY3THTSFM2XV}

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	2026-05-18T01:46:04.503421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e80e06318447c6c36af8dccf39159abd5eda3a622f8842d0420990009ef8809f

Aliases

arxiv: 1312.0228 · arxiv_version: 1312.0228v1 · doi: 10.48550/arxiv.1312.0228 · pith_short_12: 5AHAMMMEI7DM · pith_short_16: 5AHAMMMEI7DMG2XY · pith_short_8: 5AHAMMME

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/5AHAMMMEI7DMG2XY3THTSFM2XV \
  | 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: e80e06318447c6c36af8dccf39159abd5eda3a622f8842d0420990009ef8809f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff129c80b203deacbd760030d768f4b3038b2fe1d14c59e1fb5f7d259d8029f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-12-01T14:35:44Z",
    "title_canon_sha256": "189ce92f7fdb8cdf405ebb96f151de3a38163cb854d65e4ed9e463b55b0fa11d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0228",
    "kind": "arxiv",
    "version": 1
  }
}