Pith Number

pith:W5IXISLL

pith:2011:W5IXISLLNNAUM5ZUIWGBSONZHO

not attested not anchored not stored refs pending

Derived A-infinity algebras in an operadic context

Constanze Roitzheim, Muriel Livernet, Sarah Whitehouse

arxiv:1110.5167 v3 · 2011-10-24 · 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{W5IXISLLNNAUM5ZUIWGBSONZHO}

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	2026-05-18T02:41:43.574119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75174496b6b41467734458c1939b93b88706b0dd5b6bc0cbfdca7b55b9c4bb7

Aliases

arxiv: 1110.5167 · arxiv_version: 1110.5167v3 · doi: 10.48550/arxiv.1110.5167 · pith_short_12: W5IXISLLNNAU · pith_short_16: W5IXISLLNNAUM5ZU · pith_short_8: W5IXISLL

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/W5IXISLLNNAUM5ZUIWGBSONZHO \
  | 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: b75174496b6b41467734458c1939b93b88706b0dd5b6bc0cbfdca7b55b9c4bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d778982bec9954422d369dc66815605568d5584ef2edc3de0ea6320758430f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-24T09:13:54Z",
    "title_canon_sha256": "e3908d72a966cdeb0b535135d4e66d2add9d1c07fac571a96f5c7f15520b5213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5167",
    "kind": "arxiv",
    "version": 3
  }
}