Pith Number

pith:6YYIKUYS

pith:2018:6YYIKUYSVK7BJYWQOR2ULTMHLW

not attested not anchored not stored refs pending

Star operations on Kunz domains

Dario Spirito

arxiv:1805.10903 v2 · 2018-05-28 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YYIKUYSVK7BJYWQOR2ULTMHLW}

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	2026-05-18T00:14:33.611029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f630855312aabe14e2d0747545cd875dbfbb4223680cadd8c6af00fe98de8dd6

Aliases

arxiv: 1805.10903 · arxiv_version: 1805.10903v2 · doi: 10.48550/arxiv.1805.10903 · pith_short_12: 6YYIKUYSVK7B · pith_short_16: 6YYIKUYSVK7BJYWQ · pith_short_8: 6YYIKUYS

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/6YYIKUYSVK7BJYWQOR2ULTMHLW \
  | 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: f630855312aabe14e2d0747545cd875dbfbb4223680cadd8c6af00fe98de8dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4dda2da4df26f2bdddea6a01c67d6594b2ba26e7233208a0b9b869cceee5298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-05-28T13:08:25Z",
    "title_canon_sha256": "a81bd9d1e127ef4ba56468a8240b2af53ab8bd50c6eeb6ba5690857b7d96296e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10903",
    "kind": "arxiv",
    "version": 2
  }
}