Pith Number

pith:ISDZF4HJ

pith:2014:ISDZF4HJLQSQ7XZMH64A6YQROU

not attested not anchored not stored refs pending

On the Roman Bondage Number of Graphs on surfaces

Vladimir Samodivkin

arxiv:1407.0367 v1 · 2014-07-01 · 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{ISDZF4HJLQSQ7XZMH64A6YQROU}

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	2026-05-18T02:48:34.178150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448792f0e95c250fdf2c3fb80f621175185410a5014442ca824ad803082bd5ca

Aliases

arxiv: 1407.0367 · arxiv_version: 1407.0367v1 · doi: 10.48550/arxiv.1407.0367 · pith_short_12: ISDZF4HJLQSQ · pith_short_16: ISDZF4HJLQSQ7XZM · pith_short_8: ISDZF4HJ

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/ISDZF4HJLQSQ7XZMH64A6YQROU \
  | 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: 448792f0e95c250fdf2c3fb80f621175185410a5014442ca824ad803082bd5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12ac1ea69ddb03a6028323641837ffdd1f1cc1f233815fc319bf249e84faede",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-01T19:23:46Z",
    "title_canon_sha256": "f857fadaf2b1d994fa71c09d1472e9cd781024ce4027b6b0e6365ba4232af6f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0367",
    "kind": "arxiv",
    "version": 1
  }
}