Pith Number

pith:AFSREKQD

pith:2012:AFSREKQDCGNCSSVIMZODPFS6UY

not attested not anchored not stored refs pending

Direct integrals of strongly irreducible operators

Chunlan Jiang, Rui Shi

arxiv:1211.6240 v1 · 2012-11-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFSREKQDCGNCSSVIMZODPFS6UY}

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	2026-05-18T03:39:52.167499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0165122a03119a294aa8665c37965ea6120d135e48c9465f3f4755c4679a8f98

Aliases

arxiv: 1211.6240 · arxiv_version: 1211.6240v1 · doi: 10.48550/arxiv.1211.6240 · pith_short_12: AFSREKQDCGNC · pith_short_16: AFSREKQDCGNCSSVI · pith_short_8: AFSREKQD

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/AFSREKQDCGNCSSVIMZODPFS6UY \
  | 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: 0165122a03119a294aa8665c37965ea6120d135e48c9465f3f4755c4679a8f98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d468020a2101508baff80ffbaffc8b2f36bebc40469d6ec8131b21b81223d9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-27T08:47:03Z",
    "title_canon_sha256": "45a43d3b312a2f351490035fac1729401ae0bc19629ab8c38b56e902c992229d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6240",
    "kind": "arxiv",
    "version": 1
  }
}