Pith Number

pith:XYIJLTGP

pith:2012:XYIJLTGPJLW2WXRIXMJKIQHAJ2

not attested not anchored not stored refs pending

On Bondage Numbers of Graphs -- a survey with some comments

Jun-Ming Xu

arxiv:1204.4010 v1 · 2012-04-18 · 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{XYIJLTGPJLW2WXRIXMJKIQHAJ2}

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	2026-05-18T03:57:38.001892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1095cccf4aedab5e28bb12a440e04e965221ba1caf9cd4652ac3e1ac2ff9c8

Aliases

arxiv: 1204.4010 · arxiv_version: 1204.4010v1 · doi: 10.48550/arxiv.1204.4010 · pith_short_12: XYIJLTGPJLW2 · pith_short_16: XYIJLTGPJLW2WXRI · pith_short_8: XYIJLTGP

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/XYIJLTGPJLW2WXRIXMJKIQHAJ2 \
  | 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: be1095cccf4aedab5e28bb12a440e04e965221ba1caf9cd4652ac3e1ac2ff9c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "590856b65c182126a30369689c8f54d2608905f3bec8e96d4cd02a6b9644c50e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-18T08:21:27Z",
    "title_canon_sha256": "ee34feba608bd4cedff7c06e2cd5abc378cc6c743ec3831970ac10550d9b7ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4010",
    "kind": "arxiv",
    "version": 1
  }
}