pith. sign in
Pith Number

pith:JBPBCNIJ

pith:2012:JBPBCNIJOLHJH666HSWAHTDMT6
not attested not anchored not stored refs pending

Low temperature expansion in the Lifshitz formula

M. Bordag

arxiv:1212.0213 v3 · 2012-12-02 · quant-ph · cond-mat.other

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JBPBCNIJOLHJH666HSWAHTDMT6}

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 2026-05-18T02:47:51.083292Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

485e11350972ce93fbde3cac03cc6c9fa42d179fd366f4a3e5a9d005fb371fbc

Aliases

arxiv: 1212.0213 · arxiv_version: 1212.0213v3 · doi: 10.48550/arxiv.1212.0213 · pith_short_12: JBPBCNIJOLHJ · pith_short_16: JBPBCNIJOLHJH666 · pith_short_8: JBPBCNIJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JBPBCNIJOLHJH666HSWAHTDMT6 \
  | 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: 485e11350972ce93fbde3cac03cc6c9fa42d179fd366f4a3e5a9d005fb371fbc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bdc3f2259155679e3e2d5882732ce6a80758227768818afd6776ed66b34a23c5",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-02T14:57:38Z",
    "title_canon_sha256": "4dc38e41d56a13414e4b5f426184ee8d00c5d45d54e6cffa8f68e5ec065644c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0213",
    "kind": "arxiv",
    "version": 3
  }
}