Pith Number

pith:UJU2KLVM

pith:2014:UJU2KLVM2Z6U7JA5RCFEB2MHMD

not attested not anchored not stored refs pending

3-Factor-criticality in double domination edge critical graphs

Erfang Shan, Haichao Wang, Yancai Zhao

arxiv:1408.4198 v1 · 2014-08-19 · 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{UJU2KLVM2Z6U7JA5RCFEB2MHMD}

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	2026-05-18T02:44:55.894974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a269a52eacd67d4fa41d888a40e98760dba4f1b5a0b2cb26eeb4c88ea85c91dc

Aliases

arxiv: 1408.4198 · arxiv_version: 1408.4198v1 · doi: 10.48550/arxiv.1408.4198 · pith_short_12: UJU2KLVM2Z6U · pith_short_16: UJU2KLVM2Z6U7JA5 · pith_short_8: UJU2KLVM

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/UJU2KLVM2Z6U7JA5RCFEB2MHMD \
  | 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: a269a52eacd67d4fa41d888a40e98760dba4f1b5a0b2cb26eeb4c88ea85c91dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4037346b72c22abada8c549ba6fb15aee3087d9f9a3acad4fc90d219030d65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-19T03:03:02Z",
    "title_canon_sha256": "7de125e00b46a1f9fb94656f6ea6a1679f72e577727abdf3b0c505ec0bdfc0ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4198",
    "kind": "arxiv",
    "version": 1
  }
}