Pith Number

pith:ACW7CIZZ

pith:2014:ACW7CIZZ2LYQTONKM3THAWXXID

not attested not anchored not stored refs pending

Uniqueness of gradient Gibbs measures with disorder

Christof K\"ulske, Codina Cotar

arxiv:1405.1449 v2 · 2014-05-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACW7CIZZ2LYQTONKM3THAWXXID}

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	2026-05-18T02:42:53.733779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00adf12339d2f109b9aa66e6705af740c1be6b96e93172c632e13ad9e0236799

Aliases

arxiv: 1405.1449 · arxiv_version: 1405.1449v2 · doi: 10.48550/arxiv.1405.1449 · pith_short_12: ACW7CIZZ2LYQ · pith_short_16: ACW7CIZZ2LYQTONK · pith_short_8: ACW7CIZZ

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/ACW7CIZZ2LYQTONKM3THAWXXID \
  | 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: 00adf12339d2f109b9aa66e6705af740c1be6b96e93172c632e13ad9e0236799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a1a17729ba339a5d7478c5fbf423443aa0fdf8a98c5ab642153a33a65b0882e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-06T20:23:30Z",
    "title_canon_sha256": "b90754462fd9f24c5071050cbd7b63a312c2ffddc5c939a1104f1c373f9f7ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1449",
    "kind": "arxiv",
    "version": 2
  }
}