Pith Number

pith:77TA4Y62

pith:2009:77TA4Y625GSSWLTKIB4G42NYYK

not attested not anchored not stored refs pending

Statistical Mechanical Theory of a Closed Oscillating Universe

A. Perez-Madrid, I. Santamaria-Holek

arxiv:0907.1554 v1 · 2009-07-09 · 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{77TA4Y625GSSWLTKIB4G42NYYK}

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	2026-05-18T02:13:04.291962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe60e63dae9a52b2e6a40786e69b8c2ae1710ec9e198fa8e25c750f68553c46

Aliases

arxiv: 0907.1554 · arxiv_version: 0907.1554v1 · doi: 10.48550/arxiv.0907.1554 · pith_short_12: 77TA4Y625GSS · pith_short_16: 77TA4Y625GSSWLTK · pith_short_8: 77TA4Y62

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/77TA4Y625GSSWLTKIB4G42NYYK \
  | 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: ffe60e63dae9a52b2e6a40786e69b8c2ae1710ec9e198fa8e25c750f68553c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0025bc694b9c6f659fbdb7d75ea31cecf7cf7205be862f2ebbd2fb1efa6118b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-07-09T14:02:14Z",
    "title_canon_sha256": "10ecd35923ab056bca089221b3fb28b13297d0a16476b69bb2d0bead8b070988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1554",
    "kind": "arxiv",
    "version": 1
  }
}