Pith Number

pith:ZVVN7B3D

pith:2014:ZVVN7B3D42QJTGLRSUTMBHL73U

not attested not anchored not stored refs pending

High-precision percolation thresholds and Potts-model critical manifolds from graph polynomials

Jesper Lykke Jacobsen

arxiv:1401.7847 v2 · 2014-01-30 · 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{ZVVN7B3D42QJTGLRSUTMBHL73U}

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	2026-05-18T01:36:51.793019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6adf8763e6a09999719526c09d7fdd3bd7f876680d423287696f8764f6d4d3

Aliases

arxiv: 1401.7847 · arxiv_version: 1401.7847v2 · doi: 10.48550/arxiv.1401.7847 · pith_short_12: ZVVN7B3D42QJ · pith_short_16: ZVVN7B3D42QJTGLR · pith_short_8: ZVVN7B3D

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/ZVVN7B3D42QJTGLRSUTMBHL73U \
  | 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: cd6adf8763e6a09999719526c09d7fdd3bd7f876680d423287696f8764f6d4d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85670af6483e6b4be0a8dab198d0316ddabe6c6c875c3f6cd586b9b8719aea2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-01-30T14:12:42Z",
    "title_canon_sha256": "cbed6f3d0b746ac251530cb0947457ee7910277f59110c42dc48b15668b9c7ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7847",
    "kind": "arxiv",
    "version": 2
  }
}