Pith Number

pith:433GOW2H

pith:2014:433GOW2H2Z7YYTQFNADKPZULZG

not attested not anchored not stored refs pending

Lyubeznik numbers of local rings and linear strands of graded ideals

Josep Alvarez Montaner, Kohji Yanagawa

arxiv:1409.6486 v2 · 2014-09-23 · 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{433GOW2H2Z7YYTQFNADKPZULZG}

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	2026-05-18T01:12:22.969520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f6675b47d67f8c4e056806a7e68bc993a1f37e5d858c15755708d1d976ee62

Aliases

arxiv: 1409.6486 · arxiv_version: 1409.6486v2 · doi: 10.48550/arxiv.1409.6486 · pith_short_12: 433GOW2H2Z7Y · pith_short_16: 433GOW2H2Z7YYTQF · pith_short_8: 433GOW2H

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/433GOW2H2Z7YYTQFNADKPZULZG \
  | 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: e6f6675b47d67f8c4e056806a7e68bc993a1f37e5d858c15755708d1d976ee62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "170036a3e0042b944c151e712d2b961f68e35daa725177cd6e2c18e569af4a31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-23T11:02:40Z",
    "title_canon_sha256": "25f35d71d733740dc7b10cb784729190fd2fc22fca274512aae9ad2219da7be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6486",
    "kind": "arxiv",
    "version": 2
  }
}