Pith Number

pith:4NB7ZC46

pith:2000:4NB7ZC46EOM6RWHIJCQX5OKJB6

not attested not anchored not stored refs pending

Homotopy Algebras for Operads

Tom Leinster

arxiv:math/0002180 v1 · 2000-02-22 · math.QA · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NB7ZC46EOM6RWHIJCQX5OKJB6}

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	2026-07-04T14:34:23.261577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e343fc8b9e2399e8d8e848a17eb9490f81fc9388a874285e4cf240d634356004

Aliases

arxiv: math/0002180 · arxiv_version: math/0002180v1 · doi: 10.48550/arxiv.math/0002180 · pith_short_12: 4NB7ZC46EOM6 · pith_short_16: 4NB7ZC46EOM6RWHI · pith_short_8: 4NB7ZC46

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/4NB7ZC46EOM6RWHIJCQX5OKJB6 \
  | 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: e343fc8b9e2399e8d8e848a17eb9490f81fc9388a874285e4cf240d634356004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a948366eac450a2e206dd75cd527d7acc5dbae5b44a1194f0ab8d35dfa7dbe79",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-02-22T11:35:45Z",
    "title_canon_sha256": "bf0c0aa7bc5bcbac349bcb6422e6768e294f5eca50b7612b0fd00d92b483bb9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002180",
    "kind": "arxiv",
    "version": 1
  }
}