Pith Number

pith:FW5MKVI7

pith:2001:FW5MKVI74APCL6ZJKINNTSWOXG

not attested not anchored not stored refs pending

Topology and Phase Transitions: towards a proper mathematical definition of finite N transitions

2), Firenze, France), Italy;(2) INFM, Italy; (3) Dipartimento di Fisica, Italy; (4) C.P.T.- CNRS, Lionel Spinelli (4) ((1) Osservatorio Astrofisico di Arcetri, Marco Pettini (1, Marseille, Pisa, Roberto Franzosi (3), UdR di Firenze

arxiv:cond-mat/0104110 v1 · 2001-04-06 · 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{FW5MKVI74APCL6ZJKINNTSWOXG}

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	2026-05-18T00:37:00.494127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dbac5551fe01e25fb29521ad9caceb9b4c39c611d397a21f7d9b0ccd13114e6

Aliases

arxiv: cond-mat/0104110 · arxiv_version: cond-mat/0104110v1 · doi: 10.48550/arxiv.cond-mat/0104110 · pith_short_12: FW5MKVI74APC · pith_short_16: FW5MKVI74APCL6ZJ · pith_short_8: FW5MKVI7

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/FW5MKVI74APCL6ZJKINNTSWOXG \
  | 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: 2dbac5551fe01e25fb29521ad9caceb9b4c39c611d397a21f7d9b0ccd13114e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcca1055c0aba088132a390ad193c6d8fbeedf978b5441b8ec033ad5fa99d0bf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2001-04-06T13:26:41Z",
    "title_canon_sha256": "8319ca0d80842067f6be492636d94b9c65e00bdf2c3aa97f4d762fe3cd33cf4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0104110",
    "kind": "arxiv",
    "version": 1
  }
}