Pith Number

pith:GH46HL7H

pith:2015:GH46HL7H7A4TIFBMCXOYRABPD6

not attested not anchored not stored refs pending

The Ising model on the random planar causal triangulation: bounds on the critical line and magnetization properties

George M. Napolitano, Tatyana Turova

arxiv:1504.03828 v2 · 2015-04-15 · cond-mat.stat-mech · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GH46HL7H7A4TIFBMCXOYRABPD6}

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	2026-05-18T01:22:08.056830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f9e3afe7f83934142c15dd88802f1fab50bee924cd3a77e2bda78ba580fa8b

Aliases

arxiv: 1504.03828 · arxiv_version: 1504.03828v2 · doi: 10.48550/arxiv.1504.03828 · pith_short_12: GH46HL7H7A4T · pith_short_16: GH46HL7H7A4TIFBM · pith_short_8: GH46HL7H

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/GH46HL7H7A4TIFBMCXOYRABPD6 \
  | 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: 31f9e3afe7f83934142c15dd88802f1fab50bee924cd3a77e2bda78ba580fa8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b3e2d747ee69333b00fa9ed7c2aff40411d7388c18b6fde4bef72e36ac4376",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-04-15T09:08:21Z",
    "title_canon_sha256": "fc7315c2e5d284039788436dc70573bc173ef8ed605b09ebfbc4d8b65f240564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03828",
    "kind": "arxiv",
    "version": 2
  }
}