Pith Number

pith:ZIUT3NXC

pith:2011:ZIUT3NXC4NC2PRI6L4VUH5BWEO

not attested not anchored not stored refs pending

A simple topological model with continuous phase transition

Fabrizio Baroni

arxiv:1102.3276 v5 · 2011-02-16 · 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{ZIUT3NXC4NC2PRI6L4VUH5BWEO}

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	2026-05-18T01:00:17.411919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca293db6e2e345a7c51e5f2b43f4362390e13bc0ea3f526f028a760058d6a546

Aliases

arxiv: 1102.3276 · arxiv_version: 1102.3276v5 · doi: 10.48550/arxiv.1102.3276 · pith_short_12: ZIUT3NXC4NC2 · pith_short_16: ZIUT3NXC4NC2PRI6 · pith_short_8: ZIUT3NXC

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/ZIUT3NXC4NC2PRI6L4VUH5BWEO \
  | 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: ca293db6e2e345a7c51e5f2b43f4362390e13bc0ea3f526f028a760058d6a546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f50699167aff5a50b25d39944fdf2096dfda0da60d736bd908e583c0461500c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-02-16T09:43:15Z",
    "title_canon_sha256": "adad8a048fc1d1fa15a3d7db2e8729507b4da3a34f8f4c60c096155bb5371bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3276",
    "kind": "arxiv",
    "version": 5
  }
}