Pith Number

pith:FQNK4E7F

pith:2005:FQNK4E7FAEJ4TKGEPEL4YRFWIN

not attested not anchored not stored refs pending

On triangulated orbit categories

Bernhard Keller

arxiv:math/0503240 v4 · 2005-03-13 · math.RT · 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{FQNK4E7FAEJ4TKGEPEL4YRFWIN}

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

Fishing for complements

Receipt and verification

First computed	2026-07-04T14:50:11.393697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c1aae13e50113c9a8c47917cc44b643648a1370a21f025cb7592d7f4aec67da

Aliases

arxiv: math/0503240 · arxiv_version: math/0503240v4 · doi: 10.48550/arxiv.math/0503240 · pith_short_12: FQNK4E7FAEJ4 · pith_short_16: FQNK4E7FAEJ4TKGE · pith_short_8: FQNK4E7F

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/FQNK4E7FAEJ4TKGEPEL4YRFWIN \
  | 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: 2c1aae13e50113c9a8c47917cc44b643648a1370a21f025cb7592d7f4aec67da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ff144a9dfc9839de52be72b195711f86a5806299472fa9212f7614d69d07fc",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2005-03-13T14:05:16Z",
    "title_canon_sha256": "e99cbd1befddecbc78e5b86fdf29341b9482cf2cc8dd76ec34068bff13fc2cc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503240",
    "kind": "arxiv",
    "version": 4
  }
}