Pith Number

pith:T3FUGLOI

pith:2011:T3FUGLOI2BHCJCKWB2NLWDQXNZ

not attested not anchored not stored refs pending

On the operator-sum formalism

Colin Wilmott

arxiv:1104.1313 v2 · 2011-04-07 · 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{T3FUGLOI2BHCJCKWB2NLWDQXNZ}

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	2026-05-18T04:22:41.022778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ecb432dc8d04e2489560e9abb0e176e792d15e4babe6104841eb2d07b7492e4

Aliases

arxiv: 1104.1313 · arxiv_version: 1104.1313v2 · doi: 10.48550/arxiv.1104.1313 · pith_short_12: T3FUGLOI2BHC · pith_short_16: T3FUGLOI2BHCJCKW · pith_short_8: T3FUGLOI

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/T3FUGLOI2BHCJCKWB2NLWDQXNZ \
  | 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: 9ecb432dc8d04e2489560e9abb0e176e792d15e4babe6104841eb2d07b7492e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5b6612a9e03327a70f1d69c71467ccad920c88555e4f2b168bddbd42b0cd363",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-07T12:17:26Z",
    "title_canon_sha256": "d6ee037a3347b7b6b7ef8a4cf5a4258485f893a37b83b6dbe99861b2ada7602e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1313",
    "kind": "arxiv",
    "version": 2
  }
}