Pith Number

pith:UAJE3HTM

pith:2006:UAJE3HTMYPOO3YPBIE3BBCDHOV

not attested not anchored not stored refs pending

E_0-Semigroups for Continuous Product Systems

Michael Skeide

arxiv:math/0607132 v1 · 2006-07-05 · 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{UAJE3HTMYPOO3YPBIE3BBCDHOV}

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	2026-05-18T03:06:43.227237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0124d9e6cc3dcede1e141361088677565cfd2ed68dde5673f1e74b752430754

Aliases

arxiv: math/0607132 · arxiv_version: math/0607132v1 · doi: 10.48550/arxiv.math/0607132 · pith_short_12: UAJE3HTMYPOO · pith_short_16: UAJE3HTMYPOO3YPB · pith_short_8: UAJE3HTM

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/UAJE3HTMYPOO3YPBIE3BBCDHOV \
  | 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: a0124d9e6cc3dcede1e141361088677565cfd2ed68dde5673f1e74b752430754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69eb4c8e03c78862bb1386326e9ee408f04b0fa2862c142c77f5d8d222c00b88",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-07-05T14:23:49Z",
    "title_canon_sha256": "ee0f45294073fb4f95552f1ea5d85788d93bb883965a0a4d6d50412cefc3a30c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607132",
    "kind": "arxiv",
    "version": 1
  }
}