Pith Number

pith:QA4IRLFD

pith:2021:QA4IRLFDP6MPUSRKULCIG4UIKW

not attested not anchored not stored refs pending

A note on Penrose's Spin-Geometry Theorem and the geometry of `empirical quantum angles'

L\'aszl\'o B. Szabados

arxiv:2112.14538 v4 · 2021-12-29 · gr-qc · 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{QA4IRLFDP6MPUSRKULCIG4UIKW}

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	2026-07-05T04:55:15.808806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803888aca37f98fa4a2aa2c483728855bf37df8fcb0b3d3a1f19cfbb373ff416

Aliases

arxiv: 2112.14538 · arxiv_version: 2112.14538v4 · doi: 10.48550/arxiv.2112.14538 · pith_short_12: QA4IRLFDP6MP · pith_short_16: QA4IRLFDP6MPUSRK · pith_short_8: QA4IRLFD

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/QA4IRLFDP6MPUSRKULCIG4UIKW \
  | 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: 803888aca37f98fa4a2aa2c483728855bf37df8fcb0b3d3a1f19cfbb373ff416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2204fbf7b497547ef1a15fbc82e7da789ef4c99aae1b1e7e20230fb7d8e8f5",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-29T13:28:27Z",
    "title_canon_sha256": "800558b65f59fff3d4987cdb88d4270bbbd239f77530252a54d672d5aae5d22f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14538",
    "kind": "arxiv",
    "version": 4
  }
}