Pith Number

pith:AOYPI2WH

pith:1993:AOYPI2WHZ64QVIKEJWW6J6AH25

not attested not anchored not stored refs pending

Unique determination of an inner product by adjointness relations in the algebra of quantum observables

Alan D. Rendall

arxiv:gr-qc/9303026 v1 · 1993-03-20 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOYPI2WHZ64QVIKEJWW6J6AH25}

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	2026-07-04T17:25:34.749942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b0f46ac7cfb90aa1444dade4f807d76660367e5e2703e807ea2a899651deea

Aliases

arxiv: gr-qc/9303026 · arxiv_version: gr-qc/9303026v1 · doi: 10.48550/arxiv.gr-qc/9303026 · pith_short_12: AOYPI2WHZ64Q · pith_short_16: AOYPI2WHZ64QVIKE · pith_short_8: AOYPI2WH

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/AOYPI2WHZ64QVIKEJWW6J6AH25 \
  | 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: 03b0f46ac7cfb90aa1444dade4f807d76660367e5e2703e807ea2a899651deea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c9a76bebc84bc5b3a9f4a35ccdeab37c0fe8e0d24b866e272b708c87f48d3e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-03-20T19:27:00Z",
    "title_canon_sha256": "6442e6b577b65b05c0b02faf813528b485a52a64853c0658cbebf3f9f1a826d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9303026",
    "kind": "arxiv",
    "version": 1
  }
}