Pith Number

pith:27ZWUWHR

pith:2012:27ZWUWHRFBB4H3TEKWU2TINX2W

not attested not anchored not stored refs pending

Gorenstein Hilbert Coefficients

Hema Srinivasan, Sabine El Khoury

arxiv:1201.5575 v3 · 2012-01-26 · 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{27ZWUWHRFBB4H3TEKWU2TINX2W}

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	2026-05-18T04:02:53.976098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f36a58f12843c3ee6455a9a9a1b7d583ac9525e314355b8650d1718c618495

Aliases

arxiv: 1201.5575 · arxiv_version: 1201.5575v3 · doi: 10.48550/arxiv.1201.5575 · pith_short_12: 27ZWUWHRFBB4 · pith_short_16: 27ZWUWHRFBB4H3TE · pith_short_8: 27ZWUWHR

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/27ZWUWHRFBB4H3TEKWU2TINX2W \
  | 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: d7f36a58f12843c3ee6455a9a9a1b7d583ac9525e314355b8650d1718c618495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a6ee586b30b130ae70925ed104cddb3b3446e594d744e5b1533a054707aeb1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-01-26T16:39:27Z",
    "title_canon_sha256": "ba7cd80bebf59f74dc4fc094f6235626bdf9be12dc0b8ba031c73c50e9a84757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5575",
    "kind": "arxiv",
    "version": 3
  }
}