Pith Number

pith:YW25V33S

pith:2026:YW25V33SYEM7XOQS4M3KAUBAXQ

not attested not anchored not stored refs pending

Exact log-odds representation and mean-field criticality of a growing social group model

Fanyuan Meng, Xingfu Ke

arxiv:2606.24818 v1 · 2026-06-23 · cond-mat.stat-mech · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YW25V33SYEM7XOQS4M3KAUBAXQ}

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	2026-06-24T01:15:43.172940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b5daef72c119fbba12e336a05020bc2156f4a7611d03123b76fa9e0b0840d6

Aliases

arxiv: 2606.24818 · arxiv_version: 2606.24818v1 · doi: 10.48550/arxiv.2606.24818 · pith_short_12: YW25V33SYEM7 · pith_short_16: YW25V33SYEM7XOQS · pith_short_8: YW25V33S

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/YW25V33SYEM7XOQS4M3KAUBAXQ \
  | 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: c5b5daef72c119fbba12e336a05020bc2156f4a7611d03123b76fa9e0b0840d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f1e407e82c67862642716a56f761c9d32cfe704f8aecb8fe1e1fada0cd30f4",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-23T17:05:08Z",
    "title_canon_sha256": "ba2c3a02604a4f26306591db4ebbcde1a719a1dc8e53c3c6cb1deb186beb5cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24818",
    "kind": "arxiv",
    "version": 1
  }
}