Pith Number

pith:QI7D3BT4

pith:2013:QI7D3BT4SMG532QBCERKAQOCFC

not attested not anchored not stored refs pending

The bondage number of graphs on topological surfaces: degree-S vertices and the average degree

Vladimir Samodivkin

arxiv:1305.5692 v1 · 2013-05-24 · 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{QI7D3BT4SMG532QBCERKAQOCFC}

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	2026-05-18T03:25:03.491675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823e3d867c930dddea011122a041c228903b66a54b2b0dc5ff0e7d647424c033

Aliases

arxiv: 1305.5692 · arxiv_version: 1305.5692v1 · doi: 10.48550/arxiv.1305.5692 · pith_short_12: QI7D3BT4SMG5 · pith_short_16: QI7D3BT4SMG532QB · pith_short_8: QI7D3BT4

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/QI7D3BT4SMG532QBCERKAQOCFC \
  | 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: 823e3d867c930dddea011122a041c228903b66a54b2b0dc5ff0e7d647424c033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335c8e1b0b4bfa03e0398afc2873c6d8951ee8ac1b05092f542b36bcd2c83ce5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-24T11:32:59Z",
    "title_canon_sha256": "08370317043129f37938073e6c7d9bd9800bf0b3b0539ab68984cfe27e7f6c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5692",
    "kind": "arxiv",
    "version": 1
  }
}