Pith Number

pith:D2TRC3EN

pith:2012:D2TRC3ENUBBFJJXA2J5JVF3GOB

not attested not anchored not stored refs pending

Thermostatistics with minimal length uncertainty relation

B. Vakili, M. A. Gorji

arxiv:1207.1049 v2 · 2012-07-04 · gr-qc · cond-mat.stat-mech · quant-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{D2TRC3ENUBBFJJXA2J5JVF3GOB}

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	2026-05-18T03:43:04.949570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ea7116c8da04254a6e0d27a9a976670503bf0061c53ea76221991d7bf72ae8c

Aliases

arxiv: 1207.1049 · arxiv_version: 1207.1049v2 · doi: 10.48550/arxiv.1207.1049 · pith_short_12: D2TRC3ENUBBF · pith_short_16: D2TRC3ENUBBFJJXA · pith_short_8: D2TRC3EN

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/D2TRC3ENUBBFJJXA2J5JVF3GOB \
  | 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: 1ea7116c8da04254a6e0d27a9a976670503bf0061c53ea76221991d7bf72ae8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc36d780940db10279bb94b42b611e785bbaa4b0a48cd95ff3e5339deb647919",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-04T16:19:41Z",
    "title_canon_sha256": "e0134c1f2059cab32ed2884f8dd0ce8ff9e7046c3b7cd36fa49c98b59823e930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1049",
    "kind": "arxiv",
    "version": 2
  }
}