Pith Number

pith:OTQQKTPK

pith:2008:OTQQKTPKO4P4WLEXZF5UQCRA7S

not attested not anchored not stored refs pending

Bar constructions and Quillen homology of modules over operads

John E. Harper

arxiv:0802.2311 v4 · 2008-02-16 · 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{OTQQKTPKO4P4WLEXZF5UQCRA7S}

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	2026-05-18T02:41:51.777982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74e1054dea771fcb2c97c97b480a20fc9b8c22ade7c5d2fc24b2954cf064fd5d

Aliases

arxiv: 0802.2311 · arxiv_version: 0802.2311v4 · doi: 10.48550/arxiv.0802.2311 · pith_short_12: OTQQKTPKO4P4 · pith_short_16: OTQQKTPKO4P4WLEX · pith_short_8: OTQQKTPK

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/OTQQKTPKO4P4WLEXZF5UQCRA7S \
  | 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: 74e1054dea771fcb2c97c97b480a20fc9b8c22ade7c5d2fc24b2954cf064fd5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d282c06be5bc19c204f8af1a4d286e1e3aaedcb76b63b6335764c7892e94e7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-02-16T04:48:48Z",
    "title_canon_sha256": "5169886e45811a76de1c1885f84c9289a2edd050cd24d966e8e2b18960dab7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2311",
    "kind": "arxiv",
    "version": 4
  }
}