Pith Number

pith:INVKTXRO

pith:2010:INVKTXROS3ZUBATDHLC6GVRNH7

not attested not anchored not stored refs pending

Stationary points approach to thermodynamic phase transitions

Michael Kastner

arxiv:1010.4437 v1 · 2010-10-21 · 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{INVKTXROS3ZUBATDHLC6GVRNH7}

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	2026-05-18T02:05:00.064887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

436aa9de2e96f34082633ac5e3562d3ff89218a44e602d85f1fcf47994b3ca91

Aliases

arxiv: 1010.4437 · arxiv_version: 1010.4437v1 · doi: 10.48550/arxiv.1010.4437 · pith_short_12: INVKTXROS3ZU · pith_short_16: INVKTXROS3ZUBATD · pith_short_8: INVKTXRO

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/INVKTXROS3ZUBATDHLC6GVRNH7 \
  | 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: 436aa9de2e96f34082633ac5e3562d3ff89218a44e602d85f1fcf47994b3ca91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b2cc5909cde9b8140edeca3f10c688b4e57f8c46c94769b40964abfcbb8aed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-10-21T11:35:25Z",
    "title_canon_sha256": "b5707a99fad4ca58039d831c57d28d698c202110665eeb4d2fc592eb35582ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4437",
    "kind": "arxiv",
    "version": 1
  }
}