Pith Number

pith:FRKF4HIQ

pith:2010:FRKF4HIQVW3QRTG67W3ECCGI7L

not attested not anchored not stored refs pending

Properties of the String Operator in the Eight-Vertex Model

Klaus Fabricius

arxiv:1011.4455 v2 · 2010-11-19 · cond-mat.stat-mech · 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{FRKF4HIQVW3QRTG67W3ECCGI7L}

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	2026-05-18T02:04:43.342707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c545e1d10adb708ccdefdb64108c8faed2791160cfa3653d27a1bece4d14a41

Aliases

arxiv: 1011.4455 · arxiv_version: 1011.4455v2 · doi: 10.48550/arxiv.1011.4455 · pith_short_12: FRKF4HIQVW3Q · pith_short_16: FRKF4HIQVW3QRTG6 · pith_short_8: FRKF4HIQ

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/FRKF4HIQVW3QRTG67W3ECCGI7L \
  | 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: 2c545e1d10adb708ccdefdb64108c8faed2791160cfa3653d27a1bece4d14a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "092e6bfcf2d00242c2b7ff0f1148b8eda4015722206737c733ec328ed8fe5a93",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-11-19T15:57:54Z",
    "title_canon_sha256": "684cdf0ddfe0fe71cf4de3cedf98ff8ea2811beee92e5207783c52a85439f5a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4455",
    "kind": "arxiv",
    "version": 2
  }
}