Pith Number

pith:PDFKUWA5

pith:2011:PDFKUWA5XZABJLEBJQNJVPPL64

not attested not anchored not stored refs pending

Reversibility and Banach Algebras

Anthony G. O'Farrell

arxiv:1110.6353 v3 · 2011-10-28 · math.GR · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDFKUWA5XZABJLEBJQNJVPPL64}

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	2026-05-18T02:59:45.338750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78caaa581dbe4014ac814c1a9abdebf721fdf9c6cf04b286e518c8f6ad21795c

Aliases

arxiv: 1110.6353 · arxiv_version: 1110.6353v3 · doi: 10.48550/arxiv.1110.6353 · pith_short_12: PDFKUWA5XZAB · pith_short_16: PDFKUWA5XZABJLEB · pith_short_8: PDFKUWA5

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/PDFKUWA5XZABJLEBJQNJVPPL64 \
  | 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: 78caaa581dbe4014ac814c1a9abdebf721fdf9c6cf04b286e518c8f6ad21795c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8092327ae3643f46a8310e8c1b28595b13ecef806a925e31e60320e5759c02fd",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-28T14:43:20Z",
    "title_canon_sha256": "77c99ab4e5ea98f6f9e7c60b71162d7dac274688e10ff44b508cc77b9878b0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6353",
    "kind": "arxiv",
    "version": 3
  }
}