Pith Number

pith:4BTPVPNW

pith:2014:4BTPVPNWUULVS2GKDLMOVLGZDC

not attested not anchored not stored refs pending

The Krull-Gabriel dimension of discrete derived categories

Grzegorz Bobinski, Henning Krause

arxiv:1402.1596 v1 · 2014-02-07 · 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{4BTPVPNWUULVS2GKDLMOVLGZDC}

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	2026-05-18T02:59:46.731311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e066fabdb6a5175968ca1ad8eaacd91886134a3f0b1f9d289010aa04c8284847

Aliases

arxiv: 1402.1596 · arxiv_version: 1402.1596v1 · doi: 10.48550/arxiv.1402.1596 · pith_short_12: 4BTPVPNWUULV · pith_short_16: 4BTPVPNWUULVS2GK · pith_short_8: 4BTPVPNW

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/4BTPVPNWUULVS2GKDLMOVLGZDC \
  | 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: e066fabdb6a5175968ca1ad8eaacd91886134a3f0b1f9d289010aa04c8284847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b9677fba86da977b6e579e60226353b42266c93b2d31152bf6550c270c93551",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-02-07T10:39:37Z",
    "title_canon_sha256": "3d58d0d63e76281b5b377b7348d0f8e5b6799ef1edacbceabb62e5e885ed89fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1596",
    "kind": "arxiv",
    "version": 1
  }
}