Pith Number

pith:F7KL7CJB

pith:2013:F7KL7CJB4IPUNCYBMPMK2PTMII

not attested not anchored not stored refs pending

Legendre symmetry and first order phase transitions of homogeneous systems

A. Bravetti, C. S. Lopez-Monsalvo, F. Nettel

arxiv:1308.6740 v2 · 2013-08-29 · physics.gen-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{F7KL7CJB4IPUNCYBMPMK2PTMII}

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	2026-05-18T03:12:21.814913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd4bf8921e21f468b0163d8ad3e6c421b3c98f20a04925f8ce0255e0a137e3f

Aliases

arxiv: 1308.6740 · arxiv_version: 1308.6740v2 · doi: 10.48550/arxiv.1308.6740 · pith_short_12: F7KL7CJB4IPU · pith_short_16: F7KL7CJB4IPUNCYB · pith_short_8: F7KL7CJB

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/F7KL7CJB4IPUNCYBMPMK2PTMII \
  | 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: 2fd4bf8921e21f468b0163d8ad3e6c421b3c98f20a04925f8ce0255e0a137e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c6c8d93ee429d83c5bebb4f52f0d75c277fd131aaea273b26c57db090038ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2013-08-29T17:08:09Z",
    "title_canon_sha256": "c59a9a4ab1d06d6f9e18157aa80fb9bf0da77fde3c991371a13e2113d8b0c240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6740",
    "kind": "arxiv",
    "version": 2
  }
}