Pith Number

pith:46LCGXIZ

pith:2011:46LCGXIZ2ZXGYITWLJ32C3EYG5

not attested not anchored not stored refs pending

Roman Bondage Number of a Graph

Fu-Tao Hu, Jun-Ming Xu

arxiv:1109.3930 v1 · 2011-09-19 · 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{46LCGXIZ2ZXGYITWLJ32C3EYG5}

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	2026-05-18T04:12:45.557480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e796235d19d66e6c22765a77a16c98375a07a5e2c29d7caf53261890d86fecb7

Aliases

arxiv: 1109.3930 · arxiv_version: 1109.3930v1 · doi: 10.48550/arxiv.1109.3930 · pith_short_12: 46LCGXIZ2ZXG · pith_short_16: 46LCGXIZ2ZXGYITW · pith_short_8: 46LCGXIZ

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/46LCGXIZ2ZXGYITWLJ32C3EYG5 \
  | 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: e796235d19d66e6c22765a77a16c98375a07a5e2c29d7caf53261890d86fecb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f74d159bdc97ec82c4c175229df90e8de4bc1eccf86bd4b7a76329ec44578d04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-19T02:54:33Z",
    "title_canon_sha256": "2ff0709c3c9ea73e46f402d97e7f0d8daa1c37fd3a0af437ad52486a8780ea9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3930",
    "kind": "arxiv",
    "version": 1
  }
}