Pith Number

pith:VZKHBGEB

pith:2015:VZKHBGEBG3K5R3OWX46LQZ2YXV

not attested not anchored not stored refs pending

Critical line of the Ising model on 2-dimensional CDT and its dual

George M. Napolitano, Tatyana S. Turova

arxiv:1512.05905 v1 · 2015-12-18 · 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{VZKHBGEBG3K5R3OWX46LQZ2YXV}

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	2026-05-18T01:24:05.955244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5470988136d5d8edd6bf3cb86758bd6596c1b49508e8189bf3f7392ffdae6e

Aliases

arxiv: 1512.05905 · arxiv_version: 1512.05905v1 · doi: 10.48550/arxiv.1512.05905 · pith_short_12: VZKHBGEBG3K5 · pith_short_16: VZKHBGEBG3K5R3OW · pith_short_8: VZKHBGEB

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/VZKHBGEBG3K5R3OWX46LQZ2YXV \
  | 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: ae5470988136d5d8edd6bf3cb86758bd6596c1b49508e8189bf3f7392ffdae6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c6bc1ecbac77c69b143d374f33005e4995df1a35e695194dc029f7118f05c0",
    "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": "2015-12-18T11:34:48Z",
    "title_canon_sha256": "e177388a42d7f92d902a9918abf10b6ae80e4efdc6db01387c99f6cf88409d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05905",
    "kind": "arxiv",
    "version": 1
  }
}