Pith Number

pith:4W6WJTWY

pith:2012:4W6WJTWYY6Q7PLH5XFMZ5ISZYK

not attested not anchored not stored refs pending

The number of equivalent realisations of a rigid graph

Bill Jackson, J. C. Owen

arxiv:1204.1228 v2 · 2012-04-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W6WJTWYY6Q7PLH5XFMZ5ISZYK}

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	2026-05-18T01:03:06.779725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5bd64ced8c7a1f7acfdb9599ea259c2bb5781bc5f3f9e6e3e69208adc5846be

Aliases

arxiv: 1204.1228 · arxiv_version: 1204.1228v2 · doi: 10.48550/arxiv.1204.1228 · pith_short_12: 4W6WJTWYY6Q7 · pith_short_16: 4W6WJTWYY6Q7PLH5 · pith_short_8: 4W6WJTWY

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/4W6WJTWYY6Q7PLH5XFMZ5ISZYK \
  | 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: e5bd64ced8c7a1f7acfdb9599ea259c2bb5781bc5f3f9e6e3e69208adc5846be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b1ab812a1c59b20fc8c7d4aacbb5213a7642bc43baacc3837b580b2477b774",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-05T13:47:44Z",
    "title_canon_sha256": "0097bef46748b1f3f3e55fcf122dfa92f3332b45a080354df637d15d62d73bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1228",
    "kind": "arxiv",
    "version": 2
  }
}