Pith Number

pith:WYWY2AP3

pith:2013:WYWY2AP3UNUIA34YASLY4CF2ZZ

not attested not anchored not stored refs pending

Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations

A. Yambartsev, J. C. Hernandez, S. Zohren, Y. Suhov

arxiv:1301.1483 v2 · 2013-01-08 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYWY2AP3UNUIA34YASLY4CF2ZZ}

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	2026-05-18T03:18:40.229524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b62d8d01fba368806f9804978e08bace56618b994d5eb398e4096e2f8e91adf5

Aliases

arxiv: 1301.1483 · arxiv_version: 1301.1483v2 · doi: 10.48550/arxiv.1301.1483 · pith_short_12: WYWY2AP3UNUI · pith_short_16: WYWY2AP3UNUIA34Y · pith_short_8: WYWY2AP3

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/WYWY2AP3UNUIA34YASLY4CF2ZZ \
  | 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: b62d8d01fba368806f9804978e08bace56618b994d5eb398e4096e2f8e91adf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "365b75aad9aa65c106c00b7da9a7c1aaeb7e57e16aacf1643e2c93469ce2939a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-08T10:47:20Z",
    "title_canon_sha256": "dbf9a5a20db0e6f3ee1df630f38100b442cb7d89df3263cf74a96dfe71aad314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1483",
    "kind": "arxiv",
    "version": 2
  }
}