Pith Number

pith:CCWYBVTL

pith:2019:CCWYBVTL5KBH4B7CC6GYAGEZZP

not attested not anchored not stored refs pending

Quantum Semigroups from Synchronous Games

Piotr M. So{\l}tan

arxiv:1903.12369 v1 · 2019-03-29 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCWYBVTL5KBH4B7CC6GYAGEZZP}

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	2026-05-17T23:45:27.054454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ad80d66bea827e07e2178d801899cbceffb9c28d537d041eaa6b75c2db7c60

Aliases

arxiv: 1903.12369 · arxiv_version: 1903.12369v1 · doi: 10.48550/arxiv.1903.12369 · pith_short_12: CCWYBVTL5KBH · pith_short_16: CCWYBVTL5KBH4B7C · pith_short_8: CCWYBVTL

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/CCWYBVTL5KBH4B7CC6GYAGEZZP \
  | 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: 10ad80d66bea827e07e2178d801899cbceffb9c28d537d041eaa6b75c2db7c60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "004e681a484deea77e634a23e9636f48c61f15810a49bf40293735eb3b56e2ea",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-03-29T06:42:23Z",
    "title_canon_sha256": "b85c08018fd531571632161eda4dfa300c8e17239803cfa033710a8bccebabf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12369",
    "kind": "arxiv",
    "version": 1
  }
}