Pith Number

pith:53LHV5XG

pith:2015:53LHV5XGCOQKGU3QGLMHGPJDEX

not attested not anchored not stored refs pending

A Study on the Modular Sumset Labeling of Graphs

Sudev Naduvath

arxiv:1508.00319 v2 · 2015-08-03 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53LHV5XGCOQKGU3QGLMHGPJDEX}

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	2026-05-18T00:51:52.223350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed67af6e613a0a3537032d8733d2325e965e52b6c93fb0862c163c428154b54

Aliases

arxiv: 1508.00319 · arxiv_version: 1508.00319v2 · doi: 10.48550/arxiv.1508.00319 · pith_short_12: 53LHV5XGCOQK · pith_short_16: 53LHV5XGCOQKGU3Q · pith_short_8: 53LHV5XG

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/53LHV5XGCOQKGU3QGLMHGPJDEX \
  | 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: eed67af6e613a0a3537032d8733d2325e965e52b6c93fb0862c163c428154b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb7409fef19d02ec212fffbdfa11aa04d664621d0cd922b96c2a722fad901fbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-08-03T06:14:08Z",
    "title_canon_sha256": "cdcef06bff24ac1158bfb9b471dfc9e797ba6abef305f6018087eaf87b77ef26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00319",
    "kind": "arxiv",
    "version": 2
  }
}