Pith Number

pith:CGQH3RPZ

pith:2026:CGQH3RPZB7VZZNLHRNROQHXIBF

not attested not anchored not stored refs pending

Exact mean-field phase diagram for self-avoiding active particles in a lattice

Cristiano F. Woellner, Felipe Hawthorne, Jos\'e A. Freire

arxiv:2606.07823 v1 · 2026-06-05 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGQH3RPZB7VZZNLHRNROQHXIBF}

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	2026-06-09T01:04:53.132576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a07dc5f90feb9cb5678b62e81ee809779d7cb9236bfca9af3660ba864a0bbc

Aliases

arxiv: 2606.07823 · arxiv_version: 2606.07823v1 · doi: 10.48550/arxiv.2606.07823 · pith_short_12: CGQH3RPZB7VZ · pith_short_16: CGQH3RPZB7VZZNLH · pith_short_8: CGQH3RPZ

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/CGQH3RPZB7VZZNLHRNROQHXIBF \
  | 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: 11a07dc5f90feb9cb5678b62e81ee809779d7cb9236bfca9af3660ba864a0bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf40df603ceec7a2c332d2d6815e8fc9b25643bc6315f4b2e637eca2949575c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-06-05T20:18:44Z",
    "title_canon_sha256": "aa859f387d81fb34b1072f011848c874185e2224741ac659b7f00a8031b18765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07823",
    "kind": "arxiv",
    "version": 1
  }
}