Pith Number

pith:3E5DLUK3

pith:2009:3E5DLUK37IQ5D4F73BXPWICFK2

not attested not anchored not stored refs pending

Implementing Gr\"obner bases for operads

Mikael Vejdemo-Johansson, Vladimir Dotsenko

arxiv:0909.4950 v2 · 2009-09-27 · cs.SC · cs.MS · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3E5DLUK37IQ5D4F73BXPWICFK2}

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	2026-05-18T04:41:45.756523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93a35d15bfa21d1f0bfd86efb204556b1d675b9c658c10d60736931412b9186

Aliases

arxiv: 0909.4950 · arxiv_version: 0909.4950v2 · doi: 10.48550/arxiv.0909.4950 · pith_short_12: 3E5DLUK37IQ5 · pith_short_16: 3E5DLUK37IQ5D4F7 · pith_short_8: 3E5DLUK3

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/3E5DLUK37IQ5D4F73BXPWICFK2 \
  | 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: d93a35d15bfa21d1f0bfd86efb204556b1d675b9c658c10d60736931412b9186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc410c8a44a25367c70a41737ec4473b7fa5b368bc8202deb7676684a75d1c75",
    "cross_cats_sorted": [
      "cs.MS",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2009-09-27T16:54:34Z",
    "title_canon_sha256": "eb7b11fcf7bf5eeaeb5c91c91061bc73a6e9f2f210d4bdf64dc330974383a2b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4950",
    "kind": "arxiv",
    "version": 2
  }
}