Pith Number

pith:DEYOXAE6

pith:2013:DEYOXAE67EIDW5IGJ42S2RNIBW

not attested not anchored not stored refs pending

Koszul duality theory for operads over Hopf algebras

Olivia Bellier

arxiv:1302.3729 v1 · 2013-02-15 · math.QA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DEYOXAE67EIDW5IGJ42S2RNIBW}

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	2026-05-18T02:41:42.576253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1930eb809ef9103b75064f352d45a80d889cb15716f54a5b0eb719898d016f71

Aliases

arxiv: 1302.3729 · arxiv_version: 1302.3729v1 · doi: 10.48550/arxiv.1302.3729 · pith_short_12: DEYOXAE67EID · pith_short_16: DEYOXAE67EIDW5IG · pith_short_8: DEYOXAE6

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/DEYOXAE67EIDW5IGJ42S2RNIBW \
  | 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: 1930eb809ef9103b75064f352d45a80d889cb15716f54a5b0eb719898d016f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6eb3f80c1de94952e98e296f4191a54ba0f844301f7eee31d6dfc2453e915ed",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-02-15T11:11:37Z",
    "title_canon_sha256": "ad9203d1e9b8c16aa41216cd55181a74f6f1ac13648c87df87ad2ac1071ebcaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3729",
    "kind": "arxiv",
    "version": 1
  }
}