Pith Number

pith:7A7PONQW

pith:2013:7A7PONQWIIGFQAPOLASNTISAEG

not attested not anchored not stored refs pending

A Study on Arithmetic Integer Additive Set-Indexers of Graphs

K. A. Germina, N. K. Sudev

arxiv:1312.7674 v5 · 2013-12-30 · 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{7A7PONQWIIGFQAPOLASNTISAEG}

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	2026-05-18T02:55:48.041280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f83ef73616420c5801ee5824d9a24021aa5c7ee140494f502f76a3b237b1c0ba

Aliases

arxiv: 1312.7674 · arxiv_version: 1312.7674v5 · doi: 10.48550/arxiv.1312.7674 · pith_short_12: 7A7PONQWIIGF · pith_short_16: 7A7PONQWIIGFQAPO · pith_short_8: 7A7PONQW

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/7A7PONQWIIGFQAPOLASNTISAEG \
  | 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: f83ef73616420c5801ee5824d9a24021aa5c7ee140494f502f76a3b237b1c0ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99da558b0be96ea22a699b224eeb728efc84327739c54bd776ebc7e03249850e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-30T10:50:12Z",
    "title_canon_sha256": "fc1f02514dac53611133967e110a396ad39417cd39057dab39d48383d1847d54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7674",
    "kind": "arxiv",
    "version": 5
  }
}