Pith Number

pith:Q32RVQDH

pith:2010:Q32RVQDHZXNNIGNWMQBK3U5OXH

not attested not anchored not stored refs pending

Quantum-Mechanical Waves in Closed Vacuum States

Paul S. Wesson

arxiv:1012.6036 v1 · 2010-12-12 · physics.gen-ph · 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{Q32RVQDHZXNNIGNWMQBK3U5OXH}

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	2026-05-18T04:32:20.678651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f51ac067cddad419b66402add3aeb9ff2773401eece9c5e107fc83a518196a

Aliases

arxiv: 1012.6036 · arxiv_version: 1012.6036v1 · doi: 10.48550/arxiv.1012.6036 · pith_short_12: Q32RVQDHZXNN · pith_short_16: Q32RVQDHZXNNIGNW · pith_short_8: Q32RVQDH

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/Q32RVQDHZXNNIGNWMQBK3U5OXH \
  | 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: 86f51ac067cddad419b66402add3aeb9ff2773401eece9c5e107fc83a518196a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22dc105bca04aa62cebe44d46d243669bbbd810a3ba2705de4ebbc16443bd45",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2010-12-12T18:50:05Z",
    "title_canon_sha256": "48831bfcacf6c96a90fff0b60ed96bc892ce48dcba49702e011b3e05476962d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.6036",
    "kind": "arxiv",
    "version": 1
  }
}