Pith Number

pith:D34F4YIC

pith:2009:D34F4YICNY666IIVDFUHKCBZFL

not attested not anchored not stored refs pending

E_0-Semigroups for Continuous Poduct Systems: The Nonunital Case

Michael Skeide

arxiv:0901.1754 v1 · 2009-01-13 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D34F4YICNY666IIVDFUHKCBZFL}

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	2026-05-18T03:06:52.269295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef85e61026e3def211519687508392ae0d7290a0f04a1206caba34af043f27d

Aliases

arxiv: 0901.1754 · arxiv_version: 0901.1754v1 · doi: 10.48550/arxiv.0901.1754 · pith_short_12: D34F4YICNY66 · pith_short_16: D34F4YICNY666IIV · pith_short_8: D34F4YIC

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/D34F4YICNY666IIVDFUHKCBZFL \
  | 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: 1ef85e61026e3def211519687508392ae0d7290a0f04a1206caba34af043f27d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "012f6b199a312bc726bf1c9b36400ce7606a964a146088f7c00a888c83adcd9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-01-13T14:49:54Z",
    "title_canon_sha256": "99adef3f7cd62056602ba1f0a27c704bfd2c4e9152d2fa632d4d269b701a8afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1754",
    "kind": "arxiv",
    "version": 1
  }
}