Pith Number

pith:QQEUTMLY

pith:1999:QQEUTMLYNRAAAKXLKIQTJCGDQK

not attested not anchored not stored refs pending

Introduction to A-infinity algebras and modules

Bernhard Keller

arxiv:math/9910179 v2 · 1999-11-01 · math.RA · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQEUTMLYNRAAAKXLKIQTJCGDQK}

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

Non-commutative calculus and Getzler-Gauss-Manin connections for Open-closed Homotopy Algebras

Receipt and verification

First computed	2026-07-04T14:41:21.572897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840949b1786c40002aeb52213488c382904452e02737071a1af1e5d1fe149959

Aliases

arxiv: math/9910179 · arxiv_version: math/9910179v2 · doi: 10.48550/arxiv.math/9910179 · pith_short_12: QQEUTMLYNRAA · pith_short_16: QQEUTMLYNRAAAKXL · pith_short_8: QQEUTMLY

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/QQEUTMLYNRAAAKXLKIQTJCGDQK \
  | 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: 840949b1786c40002aeb52213488c382904452e02737071a1af1e5d1fe149959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddce456115da41f590f6d66afd915037b510855af16fdf435577fe005eb442d8",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "1999-11-01T10:58:55Z",
    "title_canon_sha256": "1eb05bacd3de5280bd8231555b381e0a9e5561cbf499bbc2fc7e7b3345e78984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9910179",
    "kind": "arxiv",
    "version": 2
  }
}