Pith Number

pith:S5Y67MVC

pith:2017:S5Y67MVCILCUER5EDL7O632G4S

not attested not anchored not stored refs pending

The multiplicity and the number of generators of an integrally closed ideal

Hailong Dao, Ilya Smirnov

arxiv:1703.09427 v3 · 2017-03-28 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5Y67MVCILCUER5EDL7O632G4S}

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	2026-05-18T00:23:56.678465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9771efb2a242c54247a41afeef6f46e4bccfec5fc5a670fe36ce7a2c3432460f

Aliases

arxiv: 1703.09427 · arxiv_version: 1703.09427v3 · doi: 10.48550/arxiv.1703.09427 · pith_short_12: S5Y67MVCILCU · pith_short_16: S5Y67MVCILCUER5E · pith_short_8: S5Y67MVC

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/S5Y67MVCILCUER5EDL7O632G4S \
  | 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: 9771efb2a242c54247a41afeef6f46e4bccfec5fc5a670fe36ce7a2c3432460f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3436d995c9356b9e26e0df668715477cc4ab4e79b64d1dc80d10b4c8f2dc608a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-03-28T07:28:19Z",
    "title_canon_sha256": "d21e844973bebc164351154b40052d1529c7f747024061b2fb98637a4e00af3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09427",
    "kind": "arxiv",
    "version": 3
  }
}