Pith Number

pith:MNQ6J7ZI

pith:2010:MNQ6J7ZIVU4DWOGPGSAXOOUKKD

not attested not anchored not stored refs pending

Phase transitions in self-gravitating systems and bacterial populations with a screened attractive potential

L. Delfini, P.H. Chavanis

arxiv:1001.1942 v1 · 2010-01-12 · 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{MNQ6J7ZIVU4DWOGPGSAXOOUKKD}

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	2026-05-18T03:23:49.532352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6361e4ff28ad383b38cf3481773a8a50f67d47c08b89667d454b829e7e2d0165

Aliases

arxiv: 1001.1942 · arxiv_version: 1001.1942v1 · doi: 10.48550/arxiv.1001.1942 · pith_short_12: MNQ6J7ZIVU4D · pith_short_16: MNQ6J7ZIVU4DWOGP · pith_short_8: MNQ6J7ZI

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/MNQ6J7ZIVU4DWOGPGSAXOOUKKD \
  | 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: 6361e4ff28ad383b38cf3481773a8a50f67d47c08b89667d454b829e7e2d0165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4898b7d90fc239f465893ef93bdb076a300f98dd3b3c46085e54d7bd8797842",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-01-12T16:31:09Z",
    "title_canon_sha256": "9dfd65f08c4668f761528e9de509a3d438230b91ada2a83da9d61b53f5651a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1942",
    "kind": "arxiv",
    "version": 1
  }
}