Pith Number

pith:CSEOVULE

pith:2016:CSEOVULEUTGZYJIJSOTCKKDM3N

not attested not anchored not stored refs pending

On the apparent failure of the topological theory of phase transitions

Marco Pettini, Matteo Gori, Roberto Franzosi

arxiv:1602.01240 v1 · 2016-02-03 · 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{CSEOVULEUTGZYJIJSOTCKKDM3N}

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	2026-05-18T01:21:20.733654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1488ead164a4cd9c250993a625286cdb5eb508ef474a50cc34d502a58ce91f1d

Aliases

arxiv: 1602.01240 · arxiv_version: 1602.01240v1 · doi: 10.48550/arxiv.1602.01240 · pith_short_12: CSEOVULEUTGZ · pith_short_16: CSEOVULEUTGZYJIJ · pith_short_8: CSEOVULE

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/CSEOVULEUTGZYJIJSOTCKKDM3N \
  | 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: 1488ead164a4cd9c250993a625286cdb5eb508ef474a50cc34d502a58ce91f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3575e3a4e1850721c83a7dee5bc6515f6afee83729b4b7bc69a36a8cb80d673a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-02-03T09:52:31Z",
    "title_canon_sha256": "3182d85ae43268f2297adbde30dea0b332b6dc6e85e303bf98a78c00464523d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01240",
    "kind": "arxiv",
    "version": 1
  }
}