Pith Number

pith:6JHPXDAL

pith:2012:6JHPXDALOA4VCN4L77BZOQOWL6

not attested not anchored not stored refs pending

Self-adjoint Operators as Functions II: Quantum Probability

Andreas Doering, Barry Dewitt

arxiv:1210.5747 v2 · 2012-10-21 · math-ph · math.MP · math.PR · 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{6JHPXDALOA4VCN4L77BZOQOWL6}

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	2026-05-18T03:05:28.403942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f24efb8c0b703951378bffc39741d65fafbf84f9c633b0df0bb50c082f91e088

Aliases

arxiv: 1210.5747 · arxiv_version: 1210.5747v2 · doi: 10.48550/arxiv.1210.5747 · pith_short_12: 6JHPXDALOA4V · pith_short_16: 6JHPXDALOA4VCN4L · pith_short_8: 6JHPXDAL

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/6JHPXDALOA4VCN4L77BZOQOWL6 \
  | 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: f24efb8c0b703951378bffc39741d65fafbf84f9c633b0df0bb50c082f91e088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a081b6a99f31236521186218130b25b99f25676f299fe2c7f6a1c4fb7e99495e",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-21T18:44:25Z",
    "title_canon_sha256": "1cf726a27c5b4fdced9ce6259a92af221543ae54d2f46be12b2c4d355da74cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5747",
    "kind": "arxiv",
    "version": 2
  }
}