Pith Number

pith:TK62M44G

pith:2009:TK62M44GWZS3OQ2Q2CAQZIIPXN

not attested not anchored not stored refs pending

The homotopy theory of strong homotopy algebras and bialgebras

J.P.Pridham

arxiv:0908.0116 v2 · 2009-08-02 · math.CT · 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{TK62M44GWZS3OQ2Q2CAQZIIPXN}

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	2026-05-18T02:43:26.560427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abda67386b665b74350d0810ca10fbb58d043e780803d69781d25c891b1fa87

Aliases

arxiv: 0908.0116 · arxiv_version: 0908.0116v2 · doi: 10.48550/arxiv.0908.0116 · pith_short_12: TK62M44GWZS3 · pith_short_16: TK62M44GWZS3OQ2Q · pith_short_8: TK62M44G

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/TK62M44GWZS3OQ2Q2CAQZIIPXN \
  | 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: 9abda67386b665b74350d0810ca10fbb58d043e780803d69781d25c891b1fa87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d704daba4045b9f628898aa2538864d87c841cb1d3d58a9cb2344152c77efd2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-08-02T09:43:18Z",
    "title_canon_sha256": "375d5fa4e8192bafe4b2b2ae168a0eceb033fe124f81c477ccfce65acd79cb2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0116",
    "kind": "arxiv",
    "version": 2
  }
}