Pith Number

pith:3PYJWATC

pith:2016:3PYJWATC6B5TTNKWA74KIJGRVO

not attested not anchored not stored refs pending

Zero Lie product determined Banach algebras

A. R. Villena, J. Alaminos, J. Extremera, M. Bre\v{s}ar

arxiv:1610.03638 v1 · 2016-10-12 · 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{3PYJWATC6B5TTNKWA74KIJGRVO}

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	2026-05-18T00:34:35.286939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf09b0262f07b39b55607f8a424d1abb2ae8ab47aeee7ec6b1e8d453c1e7e22

Aliases

arxiv: 1610.03638 · arxiv_version: 1610.03638v1 · doi: 10.48550/arxiv.1610.03638 · pith_short_12: 3PYJWATC6B5T · pith_short_16: 3PYJWATC6B5TTNKW · pith_short_8: 3PYJWATC

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/3PYJWATC6B5TTNKWA74KIJGRVO \
  | 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: dbf09b0262f07b39b55607f8a424d1abb2ae8ab47aeee7ec6b1e8d453c1e7e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caed1cecc68679f69bc888cd4dc1732de6e942e509cb55b97a95172d6ed446e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-12T08:44:02Z",
    "title_canon_sha256": "c4d23c702fa13cd091c035f5a33e767b14921c0358cea86020448337c4ac8e29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03638",
    "kind": "arxiv",
    "version": 1
  }
}