Pith Number

pith:CCPYXXGL

pith:2021:CCPYXXGLWAYLQJNSWCNCAIDPBH

not attested not anchored not stored refs pending

Composable constraints

Augustin Vanrietvelde, Matt Wilson

arxiv:2112.06818 v1 · 2021-12-13 · math.CT · cs.LO · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCPYXXGLWAYLQJNSWCNCAIDPBH}

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.

Cited by

1 paper in Pith

Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension

Receipt and verification

First computed	2026-07-05T03:40:17.359378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109f8bdccbb030b825b2b09a20206f09ce08a858206e3c36419826d6e5dbbfa1

Aliases

arxiv: 2112.06818 · arxiv_version: 2112.06818v1 · doi: 10.48550/arxiv.2112.06818 · pith_short_12: CCPYXXGLWAYL · pith_short_16: CCPYXXGLWAYLQJNS · pith_short_8: CCPYXXGL

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/CCPYXXGLWAYLQJNSWCNCAIDPBH \
  | 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: 109f8bdccbb030b825b2b09a20206f09ce08a858206e3c36419826d6e5dbbfa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db6f7b690143dd282a7e6ce3b16decf4a9c743f1a179c0943d09f1b7b151aa4e",
    "cross_cats_sorted": [
      "cs.LO",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-12-13T17:24:47Z",
    "title_canon_sha256": "550243ff85200143cac1a5e5c21ef9ba8623fcbdc03d67240c9d72f951161330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06818",
    "kind": "arxiv",
    "version": 1
  }
}