Pith Number

pith:VBTLJ2FP

pith:2023:VBTLJ2FPVNSKF4FQNIE2PZ3X7Y

not attested not anchored not stored refs pending

A Type $I$ Approximation of the Crossed Product

Ronak M Soni

arxiv:2307.12481 v4 · 2023-07-24 · hep-th · 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{VBTLJ2FPVNSKF4FQNIE2PZ3X7Y}

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	2026-07-05T07:36:52.718658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a866b4e8afab64a2f0b06a09a7e777fe225ac168ea91e8891d607178c5bf41ef

Aliases

arxiv: 2307.12481 · arxiv_version: 2307.12481v4 · doi: 10.48550/arxiv.2307.12481 · pith_short_12: VBTLJ2FPVNSK · pith_short_16: VBTLJ2FPVNSKF4FQ · pith_short_8: VBTLJ2FP

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/VBTLJ2FPVNSKF4FQNIE2PZ3X7Y \
  | 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: a866b4e8afab64a2f0b06a09a7e777fe225ac168ea91e8891d607178c5bf41ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9666940c1e8994a741e67c4c7c4bd8f5378850b6eca278c91a1c3cb842947b1f",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-07-24T02:29:00Z",
    "title_canon_sha256": "eb41c9426769f4b351c865e3894f4294e651cdf6a312459a50e9708ef10bf7cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.12481",
    "kind": "arxiv",
    "version": 4
  }
}