Pith Number

pith:DXAXNXCZ

pith:2012:DXAXNXCZGY7WT3GCUU7NBCBWKN

not attested not anchored not stored refs pending

Zeros of the Potts Model Partition Function on Sierpinski Graphs

Robert Shrock, Shu-Chiuan Chang

arxiv:1209.0020 v1 · 2012-08-31 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXAXNXCZGY7WT3GCUU7NBCBWKN}

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	2026-05-18T03:34:59.185026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc176dc59363f69ecc2a53ed088365356dc3d4e60dcc33e7e0f4d1e2e5638d0

Aliases

arxiv: 1209.0020 · arxiv_version: 1209.0020v1 · doi: 10.48550/arxiv.1209.0020 · pith_short_12: DXAXNXCZGY7W · pith_short_16: DXAXNXCZGY7WT3GC · pith_short_8: DXAXNXCZ

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/DXAXNXCZGY7WT3GCUU7NBCBWKN \
  | 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: 1dc176dc59363f69ecc2a53ed088365356dc3d4e60dcc33e7e0f4d1e2e5638d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19451aec509e6aba6bb437e35f5c2df4c772cec381ac905b6efd678f78f371c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-08-31T21:27:30Z",
    "title_canon_sha256": "7adae2a26400b530a327c6f0b02865d84012d95313635a843327f9f135981360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0020",
    "kind": "arxiv",
    "version": 1
  }
}