Pith Number

pith:7OLYGHSJ

pith:2011:7OLYGHSJQMYR5A7YEF2XB742AU

not attested not anchored not stored refs pending

Necessary and sufficient condition for stability of generalized expectation value

Aziz El Kaabouchi (ISMANS, France), ISMANS, Japan, Sumiyoshi Abe (Mie University

arxiv:1109.4275 v1 · 2011-09-20 · 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{7OLYGHSJQMYR5A7YEF2XB742AU}

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	2026-05-18T04:12:43.676739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb97831e4983311e83f8217570ff9a052049b1ac85f84818b55619ca1db1b35a

Aliases

arxiv: 1109.4275 · arxiv_version: 1109.4275v1 · doi: 10.48550/arxiv.1109.4275 · pith_short_12: 7OLYGHSJQMYR · pith_short_16: 7OLYGHSJQMYR5A7Y · pith_short_8: 7OLYGHSJ

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/7OLYGHSJQMYR5A7YEF2XB742AU \
  | 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: fb97831e4983311e83f8217570ff9a052049b1ac85f84818b55619ca1db1b35a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4090f7588adc666aa5cded42d0b6355652867160c7139f872426bdc6fbf7528",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-09-20T12:08:57Z",
    "title_canon_sha256": "0fb1d26da0bce0586b154287ddda948e35f1c8e3673b9bf0aa1591adacc90e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4275",
    "kind": "arxiv",
    "version": 1
  }
}