Pith Number

pith:BEFJDFQX

pith:2010:BEFJDFQX6TZCRIST2J2VXUSOI5

not attested not anchored not stored refs pending

Modular absolute decomposition of equidimensional polynomial ideals

Cristina Bertone

arxiv:1012.5210 v1 · 2010-12-23 · math.AC · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEFJDFQX6TZCRIST2J2VXUSOI5}

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	2026-05-18T04:32:35.578633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090a919617f4f228a253d2755bd24e477713f11418c7224ce261b5b4ac5c7fbf

Aliases

arxiv: 1012.5210 · arxiv_version: 1012.5210v1 · doi: 10.48550/arxiv.1012.5210 · pith_short_12: BEFJDFQX6TZC · pith_short_16: BEFJDFQX6TZCRIST · pith_short_8: BEFJDFQX

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/BEFJDFQX6TZCRIST2J2VXUSOI5 \
  | 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: 090a919617f4f228a253d2755bd24e477713f11418c7224ce261b5b4ac5c7fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06f8e1618ffcc3ff69ac365e9fe42e94b5468f37e23bd9b831fadebaf69f4cb8",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-23T14:21:36Z",
    "title_canon_sha256": "440a43e491cd881da993a77a29729967c69dffa7fcdb1e0ef5eb4e169ebdcf04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5210",
    "kind": "arxiv",
    "version": 1
  }
}