Pith Number

pith:DJDMFQAD

pith:2013:DJDMFQADOIZ4XMG3MGF7KJCD6N

not attested not anchored not stored refs pending

Domination subdivision and domination multisubdivision numbers of graphs

Jerzy Topp, Joanna Raczek, Magda Dettlaff

arxiv:1310.1345 v2 · 2013-10-04 · 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{DJDMFQADOIZ4XMG3MGF7KJCD6N}

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	2026-05-18T03:10:36.302227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a46c2c0037233cbb0db618bf52443f362d18a911a0d297c0bca795ecd9fe231

Aliases

arxiv: 1310.1345 · arxiv_version: 1310.1345v2 · doi: 10.48550/arxiv.1310.1345 · pith_short_12: DJDMFQADOIZ4 · pith_short_16: DJDMFQADOIZ4XMG3 · pith_short_8: DJDMFQAD

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/DJDMFQADOIZ4XMG3MGF7KJCD6N \
  | 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: 1a46c2c0037233cbb0db618bf52443f362d18a911a0d297c0bca795ecd9fe231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c364c6e9cbfd7c05b827a826e0569d85f14ee03e622981a6f71f0c38b135cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-04T17:34:03Z",
    "title_canon_sha256": "d4ebe61a1752716ab6ea9944dea9b8fdf16bc59b68b921fbc12045272d3487a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1345",
    "kind": "arxiv",
    "version": 2
  }
}