Pith Number

pith:FKQWIG7C

pith:2008:FKQWIG7CIFGWQILIPHGHQQCI2K

not attested not anchored not stored refs pending

On the derived category of an algebra over an operad

Clemens Berger, Ieke Moerdijk

arxiv:0801.2664 v2 · 2008-01-17 · 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{FKQWIG7CIFGWQILIPHGHQQCI2K}

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	2026-05-18T01:17:57.759570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa1641be2414d68216879cc784048d297e97e109e83b85e8a536da2c4c5803e

Aliases

arxiv: 0801.2664 · arxiv_version: 0801.2664v2 · doi: 10.48550/arxiv.0801.2664 · pith_short_12: FKQWIG7CIFGW · pith_short_16: FKQWIG7CIFGWQILI · pith_short_8: FKQWIG7C

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/FKQWIG7CIFGWQILIPHGHQQCI2K \
  | 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: 2aa1641be2414d68216879cc784048d297e97e109e83b85e8a536da2c4c5803e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f72376f8c2b03698677b322e1922f01ca8f4706372caafbcdc0821e99270b8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2008-01-17T12:52:28Z",
    "title_canon_sha256": "f0424607f443de7956c9911d779850f1159323468e217188004ec7e6cb6f81e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2664",
    "kind": "arxiv",
    "version": 2
  }
}