Pith Number

pith:3RYCF52F

pith:2012:3RYCF52F6DB7WZMSWZCIH4QLNE

not attested not anchored not stored refs pending

Betti tables of $p$-Borel-fixed ideals

Giulio Caviglia, Manoj Kummini

arxiv:1212.2201 v2 · 2012-12-10 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RYCF52F6DB7WZMSWZCIH4QLNE}

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	2026-05-18T03:15:34.463842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7022f745f0c3fb6592b64483f20b6902199267ae289f51404997d023fe0f6b

Aliases

arxiv: 1212.2201 · arxiv_version: 1212.2201v2 · doi: 10.48550/arxiv.1212.2201 · pith_short_12: 3RYCF52F6DB7 · pith_short_16: 3RYCF52F6DB7WZMS · pith_short_8: 3RYCF52F

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/3RYCF52F6DB7WZMSWZCIH4QLNE \
  | 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: dc7022f745f0c3fb6592b64483f20b6902199267ae289f51404997d023fe0f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2edda4e0165d2aa54bca48f0efef71f9a7b0b6bae3eea3251f65db26961e2a77",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-12-10T20:55:42Z",
    "title_canon_sha256": "fde7cb06a7175174db80c3496dcaa274bd4ca535c934bc6fc949bdc80dceb837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2201",
    "kind": "arxiv",
    "version": 2
  }
}