Pith Number

pith:Z2ABVJRC

pith:2013:Z2ABVJRCZU6DNLBSVE76SXXDP4

not attested not anchored not stored refs pending

On Integer Additive Set-Indexers of Graphs

K. A. Germina, N. K. Sudev

arxiv:1312.7672 v4 · 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{Z2ABVJRCZU6DNLBSVE76SXXDP4}

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	2026-05-18T02:55:49.586100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce801aa622cd3c36ac32a93fe95ee37f2e7b1742a8631951a636b97d1a62481a

Aliases

arxiv: 1312.7672 · arxiv_version: 1312.7672v4 · doi: 10.48550/arxiv.1312.7672 · pith_short_12: Z2ABVJRCZU6D · pith_short_16: Z2ABVJRCZU6DNLBS · pith_short_8: Z2ABVJRC

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/Z2ABVJRCZU6DNLBSVE76SXXDP4 \
  | 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: ce801aa622cd3c36ac32a93fe95ee37f2e7b1742a8631951a636b97d1a62481a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e46d9ec124083089145bf541c95f62f95cbe599a749e139dc122fba5908b37ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-30T10:45:13Z",
    "title_canon_sha256": "3d44c5c6c1a6c2464db33a623bad57708237d0ca9650176b016bc78b9885be47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7672",
    "kind": "arxiv",
    "version": 4
  }
}