Pith Number

pith:A5DFJVQZ

pith:2019:A5DFJVQZ2Q7M7UKDAAI4H3GRCL

not attested not anchored not stored refs pending

On Indecomposable triples associated with nilpotent operators

Ahmed El Khantach, El Hassan Zerouali

arxiv:1906.09523 v1 · 2019-06-23 · 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{A5DFJVQZ2Q7M7UKDAAI4H3GRCL}

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	2026-05-17T23:42:37.708102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

074654d619d43ecfd1430011c3ecd112dde09311b51336ed567be4d7e0be3bb3

Aliases

arxiv: 1906.09523 · arxiv_version: 1906.09523v1 · doi: 10.48550/arxiv.1906.09523 · pith_short_12: A5DFJVQZ2Q7M · pith_short_16: A5DFJVQZ2Q7M7UKD · pith_short_8: A5DFJVQZ

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/A5DFJVQZ2Q7M7UKDAAI4H3GRCL \
  | 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: 074654d619d43ecfd1430011c3ecd112dde09311b51336ed567be4d7e0be3bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b56893c64580faaa1af0586406e49c94e2beb99a7083f09987dd92b6ce49899b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-23T00:21:27Z",
    "title_canon_sha256": "464a2a59b4001a663a41d35a3a8b05d015c3c02348ad93b07edf4f31c39e7f17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09523",
    "kind": "arxiv",
    "version": 1
  }
}