Pith Number

pith:KQXJXXSI

pith:2011:KQXJXXSIPMYL2R2TJGVA7KLATM

not attested not anchored not stored refs pending

Statistical mechanics of the vacuum

Christian Beck

arxiv:1112.1583 v2 · 2011-12-07 · cond-mat.stat-mech · hep-ph · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQXJXXSIPMYL2R2TJGVA7KLATM}

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	2026-05-18T01:59:15.697229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

542e9bde487b30bd475349aa0fa9609b04aa8e4524459a9f4f34bbddf1f18d32

Aliases

arxiv: 1112.1583 · arxiv_version: 1112.1583v2 · doi: 10.48550/arxiv.1112.1583 · pith_short_12: KQXJXXSIPMYL · pith_short_16: KQXJXXSIPMYL2R2T · pith_short_8: KQXJXXSI

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/KQXJXXSIPMYL2R2TJGVA7KLATM \
  | 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: 542e9bde487b30bd475349aa0fa9609b04aa8e4524459a9f4f34bbddf1f18d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b46b15d6b8761f7baa804149045fed9dd96e8cf7c4186364ab055774069632c",
    "cross_cats_sorted": [
      "hep-ph",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-07T14:46:25Z",
    "title_canon_sha256": "81753056e61faaedf66af38dd4f3e2f049d2ef9ed57553ba33056e6bef27db2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1583",
    "kind": "arxiv",
    "version": 2
  }
}