Pith Number

pith:YO74LYNU

pith:2010:YO74LYNUEHGQYSBJDEFNUIZXSL

not attested not anchored not stored refs pending

The linear space of Betti diagrams of multigraded artinian modules

Gunnar Floystad

arxiv:1001.3235 v2 · 2010-01-19 · 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{YO74LYNUEHGQYSBJDEFNUIZXSL}

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	2026-05-18T01:03:41.300577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3bfc5e1b421cd0c4829190ada233792cf7cca27f49b61d7ff167e68f4f6b511

Aliases

arxiv: 1001.3235 · arxiv_version: 1001.3235v2 · doi: 10.48550/arxiv.1001.3235 · pith_short_12: YO74LYNUEHGQ · pith_short_16: YO74LYNUEHGQYSBJ · pith_short_8: YO74LYNU

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/YO74LYNUEHGQYSBJDEFNUIZXSL \
  | 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: c3bfc5e1b421cd0c4829190ada233792cf7cca27f49b61d7ff167e68f4f6b511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce60d3f7b9259dce0e893346f221ef45c5bbfe51785dd85b947021e51b047106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-01-19T09:33:30Z",
    "title_canon_sha256": "ae93a60986350b3da1c32d9d368b797b7eca039bbdefaf7e5460fed65ed096fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3235",
    "kind": "arxiv",
    "version": 2
  }
}