Pith Number

pith:QMR7SMRO

pith:2008:QMR7SMROVKRLYBZOL2TXY6IQ3M

not attested not anchored not stored refs pending

Statistical mechanics of gravitating systems: An Overview

T. Padmanabhan

arxiv:0812.2610 v2 · 2008-12-14 · astro-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{QMR7SMROVKRLYBZOL2TXY6IQ3M}

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.

Cited by

1 paper in Pith

Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces

Receipt and verification

First computed	2026-07-04T15:37:49.326604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8323f9322eaaa2bc072e5ea77c7910db12ee55145eb9aaad37aaf0fcf7366a63

Aliases

arxiv: 0812.2610 · arxiv_version: 0812.2610v2 · doi: 10.48550/arxiv.0812.2610 · pith_short_12: QMR7SMROVKRL · pith_short_16: QMR7SMROVKRLYBZO · pith_short_8: QMR7SMRO

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/QMR7SMROVKRLYBZOL2TXY6IQ3M \
  | 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: 8323f9322eaaa2bc072e5ea77c7910db12ee55145eb9aaad37aaf0fcf7366a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c44c79b11e942582a78b9e1bab5b21978f82c7f225a4e3deb817c4465d6d5812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-12-14T09:13:21Z",
    "title_canon_sha256": "63714f2ef24d26586816007c8e750953d353f350019d36598c23c4330129c366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2610",
    "kind": "arxiv",
    "version": 2
  }
}