Pith Number

pith:GUOD72AN

pith:2023:GUOD72AN67KYLVTQWSXFPUE2UM

not attested not anchored not stored refs pending

Phase transitions in self-gravitating systems and bacterial populations surrounding a central body

C. Sire, J. Sopik, P.H. Chavanis

arxiv:2308.03739 v1 · 2023-08-07 · 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{GUOD72AN67KYLVTQWSXFPUE2UM}

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	2026-07-05T06:38:21.003852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351c3fe80df7d585d670b4ae57d09aa303477130b49054e19f0a86546b483695

Aliases

arxiv: 2308.03739 · arxiv_version: 2308.03739v1 · doi: 10.48550/arxiv.2308.03739 · pith_short_12: GUOD72AN67KY · pith_short_16: GUOD72AN67KYLVTQ · pith_short_8: GUOD72AN

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/GUOD72AN67KYLVTQWSXFPUE2UM \
  | 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: 351c3fe80df7d585d670b4ae57d09aa303477130b49054e19f0a86546b483695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46875aa2e347fc840f837ab9a08e59b89132326c865d2a208cef8f212abd50e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2023-08-07T17:38:19Z",
    "title_canon_sha256": "d9c828cb59be89848b1a003297ff8d762f37bb11ab0fb7e23092a7f35b7c0272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.03739",
    "kind": "arxiv",
    "version": 1
  }
}