Pith Number

pith:UXIGONGF

pith:2011:UXIGONGFCOG4WW5YPFN7ZVPCES

not attested not anchored not stored refs pending

Aligned CP-semigroups

Christopher Jankowski, Daniel Markiewicz, Robert T. Powers

arxiv:1107.2053 v1 · 2011-07-11 · 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{UXIGONGFCOG4WW5YPFN7ZVPCES}

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	2026-05-18T04:18:33.588813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d06734c5138dcb5bb8795bfcd5e224a2a6e6b3e27dfd3414d42cba954f79bb

Aliases

arxiv: 1107.2053 · arxiv_version: 1107.2053v1 · doi: 10.48550/arxiv.1107.2053 · pith_short_12: UXIGONGFCOG4 · pith_short_16: UXIGONGFCOG4WW5Y · pith_short_8: UXIGONGF

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/UXIGONGFCOG4WW5YPFN7ZVPCES \
  | 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: a5d06734c5138dcb5bb8795bfcd5e224a2a6e6b3e27dfd3414d42cba954f79bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e76cb8317bfb755a9fc641655e3a2e3627b89daed8e17638c8b72a468563148",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-11T15:16:36Z",
    "title_canon_sha256": "bae514f6ad086d5f45b682ed0b80ad77fbf34a66df3c3b7c0c33ee5b59d1aec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2053",
    "kind": "arxiv",
    "version": 1
  }
}