Pith Number

pith:TVEK3NZJ

pith:2015:TVEK3NZJP2YE4QQZHWQOUH5VTF

not attested not anchored not stored refs pending

Quotient-polynomial graphs

M.A. Fiol

arxiv:1506.04688 v1 · 2015-06-15 · 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{TVEK3NZJP2YE4QQZHWQOUH5VTF}

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	2026-05-18T01:49:25.198723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d48adb7297eb04e42193da0ea1fb5995cc8827eba465d41641b43e391ba8184

Aliases

arxiv: 1506.04688 · arxiv_version: 1506.04688v1 · doi: 10.48550/arxiv.1506.04688 · pith_short_12: TVEK3NZJP2YE · pith_short_16: TVEK3NZJP2YE4QQZ · pith_short_8: TVEK3NZJ

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/TVEK3NZJP2YE4QQZHWQOUH5VTF \
  | 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: 9d48adb7297eb04e42193da0ea1fb5995cc8827eba465d41641b43e391ba8184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faeda407b3979bc7f367c134e1845d4c364b7a5d67f16c0992f5ea99d34b1a69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-15T18:14:45Z",
    "title_canon_sha256": "2ea75ee576c00581f8ec2f283323d76957822857f1bcf57c8ab7181b428ba661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04688",
    "kind": "arxiv",
    "version": 1
  }
}