Pith Number

pith:3MWTZBTL

pith:2015:3MWTZBTLM3CW44KAPJMSPHIJJR

not attested not anchored not stored refs pending

Duality between Spin networks and the 2D Ising model

Etera R. Livine, Francesco Costantino, Valentin Bonzom

arxiv:1504.02822 v1 · 2015-04-11 · math-ph · hep-th · math.CO · math.GT · 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{3MWTZBTLM3CW44KAPJMSPHIJJR}

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	2026-05-18T00:57:32.067905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2d3c866b66c56e71407a59279d094c7e1a486d8830b61fefcfa81d6bffd842

Aliases

arxiv: 1504.02822 · arxiv_version: 1504.02822v1 · doi: 10.48550/arxiv.1504.02822 · pith_short_12: 3MWTZBTLM3CW · pith_short_16: 3MWTZBTLM3CW44KA · pith_short_8: 3MWTZBTL

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/3MWTZBTLM3CW44KAPJMSPHIJJR \
  | 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: db2d3c866b66c56e71407a59279d094c7e1a486d8830b61fefcfa81d6bffd842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4b7392d9d2e73711da403ce37be16996ea5a530a9f55d14f8570c6a98bff6e",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-11T02:32:20Z",
    "title_canon_sha256": "7cdd8b5fa97cacc8fa4fa38f22d9ebe9af739ff6695c131d765934a847d920a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02822",
    "kind": "arxiv",
    "version": 1
  }
}