Pith Number

pith:4THF3CTS

pith:2013:4THF3CTSIBIGJBFZMNOC3EWACC

not attested not anchored not stored refs pending

Localizing algebras and invariant subspaces

Luis Rodr\'iguez-Piazza, Miguel Lacruz

arxiv:1308.4995 v1 · 2013-08-22 · 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{4THF3CTSIBIGJBFZMNOC3EWACC}

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	2026-05-18T03:15:17.738294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ce5d8a7240506484b9635c2d92c010ba1880b8765a55e16b8200a52f8c4851

Aliases

arxiv: 1308.4995 · arxiv_version: 1308.4995v1 · doi: 10.48550/arxiv.1308.4995 · pith_short_12: 4THF3CTSIBIG · pith_short_16: 4THF3CTSIBIGJBFZ · pith_short_8: 4THF3CTS

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/4THF3CTSIBIGJBFZMNOC3EWACC \
  | 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: e4ce5d8a7240506484b9635c2d92c010ba1880b8765a55e16b8200a52f8c4851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e052d510439b59e0bff998755e901f30ede4da06c1b7a38a099e01710c4ffba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-22T21:12:22Z",
    "title_canon_sha256": "2fdfb664c2908aee99619c4b2530f83d1df965430d84e112762ed44f23ab4198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4995",
    "kind": "arxiv",
    "version": 1
  }
}