Pith Number

pith:UE74VDU3

pith:2016:UE74VDU3UDVSH5KBSEOQH7SCQ7

not attested not anchored not stored refs pending

An extremality of the translation-invariant Gibbs measure for the HC-model on a Cayley tree

R.M. Khakimov, U.A. Rozikov

arxiv:1610.04755 v1 · 2016-10-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UE74VDU3UDVSH5KBSEOQH7SCQ7}

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	2026-05-18T01:02:07.173936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13fca8e9ba0eb23f541911d03fe4287c0fd8bd2e06b820ce9fa1b83423ec372

Aliases

arxiv: 1610.04755 · arxiv_version: 1610.04755v1 · doi: 10.48550/arxiv.1610.04755 · pith_short_12: UE74VDU3UDVS · pith_short_16: UE74VDU3UDVSH5KB · pith_short_8: UE74VDU3

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/UE74VDU3UDVSH5KBSEOQH7SCQ7 \
  | 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: a13fca8e9ba0eb23f541911d03fe4287c0fd8bd2e06b820ce9fa1b83423ec372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ca074caa8b143fa60f7e3cab439a35d462e0b73aced3c613db0398e478a58e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-15T16:23:18Z",
    "title_canon_sha256": "0b7c8b47c4f823a2301d6dca450d30bec06230f820c0167627f3f39635df801c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04755",
    "kind": "arxiv",
    "version": 1
  }
}