Pith Number

pith:EN4KEJ66

pith:2010:EN4KEJ6636UYSXNQGHUIZSMJLF

not attested not anchored not stored refs pending

Hilbert basis of the Lipman semigroup

Mesut Sahin

arxiv:1009.0385 v3 · 2010-09-02 · 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{EN4KEJ6636UYSXNQGHUIZSMJLF}

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	2026-05-18T04:18:44.998540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2378a227dedfa9895db031e88cc9895972490a95e11e75d6869bc881e69d92b1

Aliases

arxiv: 1009.0385 · arxiv_version: 1009.0385v3 · doi: 10.48550/arxiv.1009.0385 · pith_short_12: EN4KEJ6636UY · pith_short_16: EN4KEJ6636UYSXNQ · pith_short_8: EN4KEJ66

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/EN4KEJ6636UYSXNQGHUIZSMJLF \
  | 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: 2378a227dedfa9895db031e88cc9895972490a95e11e75d6869bc881e69d92b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f60d544ada232deaefcf2c97a84726a8f7d911744bf01947b74e4eb48d3b35f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-02T10:48:37Z",
    "title_canon_sha256": "a335dd85d6324804197f36ff614dadc15d0d9a357612bf2120ded632614a3bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0385",
    "kind": "arxiv",
    "version": 3
  }
}