Pith Number

pith:LDS4DB7W

pith:2013:LDS4DB7WKYODJQ5573W75FPRQZ

not attested not anchored not stored refs pending

On compact exceptional objects in derived module categories

Liping Li

arxiv:1312.1762 v3 · 2013-12-06 · math.RT · math.KT · 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{LDS4DB7WKYODJQ5573W75FPRQZ}

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	2026-05-18T01:15:53.551680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58e5c187f6561c34c3bdfeedfe95f1864666f27a98b0e1571ddb788704d00415

Aliases

arxiv: 1312.1762 · arxiv_version: 1312.1762v3 · doi: 10.48550/arxiv.1312.1762 · pith_short_12: LDS4DB7WKYOD · pith_short_16: LDS4DB7WKYODJQ55 · pith_short_8: LDS4DB7W

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/LDS4DB7WKYODJQ5573W75FPRQZ \
  | 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: 58e5c187f6561c34c3bdfeedfe95f1864666f27a98b0e1571ddb788704d00415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b457198d9d4fb9efda34b6d40e2e808afdbcdd4e3627f5e066052c0947053956",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-06T04:16:43Z",
    "title_canon_sha256": "d58a0c9000c100d242d3bdd7acb1fe805b0fcf4fcc5d7b3fd70dfb1a92eb60e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1762",
    "kind": "arxiv",
    "version": 3
  }
}