Pith Number

pith:LBYVS6TF

pith:2026:LBYVS6TFG35ZA3PLF5KR2G3HTT

not attested not anchored not stored refs pending

Categorical Tensor-Graph Semantics for Quantum Algorithms

Futao Wang, Naihong Hu, Ruining Li

arxiv:2607.12128 v1 · 2026-07-13 · quant-ph · math-ph · math.CT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBYVS6TFG35ZA3PLF5KR2G3HTT}

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	2026-07-15T00:21:34.719783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5871597a6536fb906deb2f551d1b679cde5587f8e3c099e928a9f5e9be802416

Aliases

arxiv: 2607.12128 · arxiv_version: 2607.12128v1 · doi: 10.48550/arxiv.2607.12128 · pith_short_12: LBYVS6TFG35Z · pith_short_16: LBYVS6TFG35ZA3PL · pith_short_8: LBYVS6TF

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/LBYVS6TFG35ZA3PLF5KR2G3HTT \
  | 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: 5871597a6536fb906deb2f551d1b679cde5587f8e3c099e928a9f5e9be802416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1dcd1d5dfd888cc074f068ea2c0a011c9c2f58fff0e88b036965b86c00a50a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-13T20:21:14Z",
    "title_canon_sha256": "d383dd7bcc67ac64994ed45d19820d579f750deba33237df95d777154f1b8f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12128",
    "kind": "arxiv",
    "version": 1
  }
}