Pith Number

pith:QOTA66AT

pith:2014:QOTA66ATIGMEADXR2XEF3TIPWO

not attested not anchored not stored refs pending

A Note on the Sparing Number of Graphs

K. A. Germina, N. K. Sudev

arxiv:1402.4871 v3 · 2014-02-20 · 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{QOTA66ATIGMEADXR2XEF3TIPWO}

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	2026-05-18T02:44:31.338136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83a60f78134198400ef1d5c85dcd0fb3bfb772fe999045b421c3108320b3146b

Aliases

arxiv: 1402.4871 · arxiv_version: 1402.4871v3 · doi: 10.48550/arxiv.1402.4871 · pith_short_12: QOTA66ATIGME · pith_short_16: QOTA66ATIGMEADXR · pith_short_8: QOTA66AT

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/QOTA66ATIGMEADXR2XEF3TIPWO \
  | 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: 83a60f78134198400ef1d5c85dcd0fb3bfb772fe999045b421c3108320b3146b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ea92387eb8b93abfbd01322be4b1db74a290c0a4bfef042f8aad6f8b3aea88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-20T02:35:15Z",
    "title_canon_sha256": "2fd2975269b145b72b65bbb0f337179043e661e10cab3d64c83b4da8358fcc43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4871",
    "kind": "arxiv",
    "version": 3
  }
}