Pith Number

pith:5Y7JHKVI

pith:2013:5Y7JHKVIX6RP56BPTDG3PQSS53

not attested not anchored not stored refs pending

Cubic Derivations on Banach Algebras

Abasalt Bodaghi

arxiv:1301.2888 v1 · 2013-01-14 · 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{5Y7JHKVIX6RP56BPTDG3PQSS53}

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	2026-05-18T03:36:34.801721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3e93aaa8bfa2fef82f98cdb7c252eec5311ded3c1d043b95c9987307b62aea

Aliases

arxiv: 1301.2888 · arxiv_version: 1301.2888v1 · doi: 10.48550/arxiv.1301.2888 · pith_short_12: 5Y7JHKVIX6RP · pith_short_16: 5Y7JHKVIX6RP56BP · pith_short_8: 5Y7JHKVI

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/5Y7JHKVIX6RP56BPTDG3PQSS53 \
  | 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: ee3e93aaa8bfa2fef82f98cdb7c252eec5311ded3c1d043b95c9987307b62aea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eefcfbe6768d659bb0b8a1a74e9ad737a768ff73ec6976d4b14e029c6b94140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-14T08:59:50Z",
    "title_canon_sha256": "bad9e7f896724193be0f8c463490530895f48c226f60f7462e5d837b2e375277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2888",
    "kind": "arxiv",
    "version": 1
  }
}