Pith Number

pith:YMIPLWGV

pith:2009:YMIPLWGV57L6GMRKG567RUBT4L

not attested not anchored not stored refs pending

On the Casimir entropy between 'perfect crystals'

Carsten Henkel, Francesco Intravaia

arxiv:0911.3489 v1 · 2009-11-18 · 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{YMIPLWGV57L6GMRKG567RUBT4L}

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	2026-05-18T03:52:15.230923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c310f5d8d5efd7e3322a377df8d033e2ef2196743131788ef5b2168fd59155d3

Aliases

arxiv: 0911.3489 · arxiv_version: 0911.3489v1 · doi: 10.48550/arxiv.0911.3489 · pith_short_12: YMIPLWGV57L6 · pith_short_16: YMIPLWGV57L6GMRK · pith_short_8: YMIPLWGV

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/YMIPLWGV57L6GMRKG567RUBT4L \
  | 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: c310f5d8d5efd7e3322a377df8d033e2ef2196743131788ef5b2168fd59155d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c886c6546eabc84714890d1328ce3b2e7774d32db5b1fc8cedc62d9b382b94f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-11-18T09:42:45Z",
    "title_canon_sha256": "d3cabdb63cb294e561aecc263082b63d3f321e180307cff4ec8d162a9bf86741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3489",
    "kind": "arxiv",
    "version": 1
  }
}