Pith Number

pith:E6U4MNHJ

pith:2009:E6U4MNHJZKFHTQH76WYCUSVTEW

not attested not anchored not stored refs pending

Self-gravitating Brownian particles in two dimensions: the case of N=2 particles

P.H. Chavanis, R. Mannella

arxiv:0911.1022 v2 · 2009-11-05 · 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{E6U4MNHJZKFHTQH76WYCUSVTEW}

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	2026-05-18T02:10:59.290039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a9c634e9ca8a79c0fff5b02a4ab325842d8f9d335fbd348e1a3591f35efc37

Aliases

arxiv: 0911.1022 · arxiv_version: 0911.1022v2 · doi: 10.48550/arxiv.0911.1022 · pith_short_12: E6U4MNHJZKFH · pith_short_16: E6U4MNHJZKFHTQH7 · pith_short_8: E6U4MNHJ

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/E6U4MNHJZKFHTQH76WYCUSVTEW \
  | 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: 27a9c634e9ca8a79c0fff5b02a4ab325842d8f9d335fbd348e1a3591f35efc37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf5eca678a5dfa42da3f87dc5307002ee0d13e553c78b58007c02c9d210e1b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-11-05T13:01:58Z",
    "title_canon_sha256": "fbf3c220f4b8c3b098f1d4c4015fbe69aa60847aa0436c23bbf27620f14c2d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1022",
    "kind": "arxiv",
    "version": 2
  }
}