Pith Number

pith:E3HZ27X4

pith:2005:E3HZ27X43GKUVGU5UGLK5LKYVX

not attested not anchored not stored refs pending

A-infinity algebras, modules and functor categories

Bernhard Keller

arxiv:math/0510508 v3 · 2005-10-24 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3HZ27X43GKUVGU5UGLK5LKYVX}

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.

Cited by

1 paper in Pith

Statistical Mechanics and Categorical Entropy

Receipt and verification

First computed	2026-07-04T14:51:14.029499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26cf9d7efcd9954a9a9da196aead58add746fc96e15565d992ad296f965bca2e

Aliases

arxiv: math/0510508 · arxiv_version: math/0510508v3 · doi: 10.48550/arxiv.math/0510508 · pith_short_12: E3HZ27X43GKU · pith_short_16: E3HZ27X43GKUVGU5 · pith_short_8: E3HZ27X4

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/E3HZ27X43GKUVGU5UGLK5LKYVX \
  | 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: 26cf9d7efcd9954a9a9da196aead58add746fc96e15565d992ad296f965bca2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "370ef52a645e5c518d0cd18e610293cf5b3a4d28277c19b5319ab442af2a6155",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2005-10-24T17:45:50Z",
    "title_canon_sha256": "249ff242d0dc94c5266d2666dc48e42ca158c24ce14f93677a9e884d86ca30ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510508",
    "kind": "arxiv",
    "version": 3
  }
}