Pith Number

pith:IINH72NB

pith:2013:IINH72NB2GSGKR4AQVUEAOUPUF

not attested not anchored not stored refs pending

On CIS Circulants

Endre Boros, Martin Milanic, Vladimir Gurvich

arxiv:1302.3498 v1 · 2013-02-14 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IINH72NB2GSGKR4AQVUEAOUPUF}

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	2026-05-18T02:59:44.727709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

421a7fe9a1d1a46547808568403a8fa160d2bfddfacf2f84a250c971ae675503

Aliases

arxiv: 1302.3498 · arxiv_version: 1302.3498v1 · doi: 10.48550/arxiv.1302.3498 · pith_short_12: IINH72NB2GSG · pith_short_16: IINH72NB2GSGKR4A · pith_short_8: IINH72NB

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/IINH72NB2GSGKR4AQVUEAOUPUF \
  | 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: 421a7fe9a1d1a46547808568403a8fa160d2bfddfacf2f84a250c971ae675503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e74c5217e72f31b56d0beb5e39a28b0b2cdb251dba4c9bfff8bd7fb787f67ab7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-14T18:16:15Z",
    "title_canon_sha256": "b9adad5ec955d503f6d6912f8f0f628b3610fb481546b43f6e1844db37bc073b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3498",
    "kind": "arxiv",
    "version": 1
  }
}