Pith Number

pith:TQL76WSR

pith:2011:TQL76WSRNMWY6ESD6VXV52HEQK

not attested not anchored not stored refs pending

The eventual shape of Betti tables of powers of ideals

Amir Bagheri, Huy Tai Ha, Marc Chardin

arxiv:1110.0383 v3 · 2011-10-03 · 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{TQL76WSRNMWY6ESD6VXV52HEQK}

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	2026-05-18T03:19:35.517808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c17ff5a516b2d8f1243f56f5ee8e482a761aaaec35348691a19b515ce364f5a

Aliases

arxiv: 1110.0383 · arxiv_version: 1110.0383v3 · doi: 10.48550/arxiv.1110.0383 · pith_short_12: TQL76WSRNMWY · pith_short_16: TQL76WSRNMWY6ESD · pith_short_8: TQL76WSR

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/TQL76WSRNMWY6ESD6VXV52HEQK \
  | 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: 9c17ff5a516b2d8f1243f56f5ee8e482a761aaaec35348691a19b515ce364f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "719d24a416486cf31d912314c795982bb396b39eefcc30ea3c1c2fa9b9802242",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-03T15:25:00Z",
    "title_canon_sha256": "960493d0f736432613ca3dbf6fb7cae4bd05a2a2ee2bbfa0deda92f9e5a81a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0383",
    "kind": "arxiv",
    "version": 3
  }
}