Pith Number

pith:ZNRVR72L

pith:2012:ZNRVR72LUM2G67HVXOODDOKYEX

not attested not anchored not stored refs pending

On the Roman bondage number of a graph

A. Bahremandpour, Fu-Tao Hu, Jun-Ming Xu, S. M. Sheikholeslami

arxiv:1204.1438 v1 · 2012-04-06 · 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{ZNRVR72LUM2G67HVXOODDOKYEX}

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	2026-05-18T03:58:25.588495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6358ff4ba3346f7cf5bb9c31b95825e6a6a55f62d66ff9ae106610a9d8aa5e

Aliases

arxiv: 1204.1438 · arxiv_version: 1204.1438v1 · doi: 10.48550/arxiv.1204.1438 · pith_short_12: ZNRVR72LUM2G · pith_short_16: ZNRVR72LUM2G67HV · pith_short_8: ZNRVR72L

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/ZNRVR72LUM2G67HVXOODDOKYEX \
  | 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: cb6358ff4ba3346f7cf5bb9c31b95825e6a6a55f62d66ff9ae106610a9d8aa5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c3b818a3b33e7a1e38b0adb86368ca27e03806ee338939b906b2cf75336c3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-06T09:02:19Z",
    "title_canon_sha256": "4a98e0316cba8599615f82e95638899b91da71940ca25674ecc31bfbc07f069a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1438",
    "kind": "arxiv",
    "version": 1
  }
}