Pith Number

pith:CBNV5PPX

pith:2011:CBNV5PPXVRN76LIY7CMOYOPIWH

not attested not anchored not stored refs pending

A parallel Buchberger algorithm for multigraded ideals

Emil Sk\"oldberg, Jason Dusek, Mikael Vejdemo-Johansson

arxiv:1105.5509 v1 · 2011-05-27 · math.AC · cs.DC · 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{CBNV5PPXVRN76LIY7CMOYOPIWH}

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	2026-05-18T04:21:11.508177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105b5ebdf7ac5bff2d18f898ec39e8b1d5e32ff875091d2aa5f1b9062531fa73

Aliases

arxiv: 1105.5509 · arxiv_version: 1105.5509v1 · doi: 10.48550/arxiv.1105.5509 · pith_short_12: CBNV5PPXVRN7 · pith_short_16: CBNV5PPXVRN76LIY · pith_short_8: CBNV5PPX

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/CBNV5PPXVRN76LIY7CMOYOPIWH \
  | 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: 105b5ebdf7ac5bff2d18f898ec39e8b1d5e32ff875091d2aa5f1b9062531fa73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9567e3d257f7b13969a87dec3020c3d7f3a3179ffa413b86fd9e3c05f0bd1266",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.SC"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-05-27T09:46:53Z",
    "title_canon_sha256": "573d4e64c5e79aa765bd7e9bd7f209b204b5a4a69f04725e54aeb11c7ffa8b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5509",
    "kind": "arxiv",
    "version": 1
  }
}