Pith Number

pith:2TJZ7T2Q

pith:2011:2TJZ7T2QOMNJY62PZQQPKER623

not attested not anchored not stored refs pending

Probability representation of quantum evolution and energy level equations for optical tomograms

V.I.Man'ko, Ya. A. Korennoy

arxiv:1101.2537 v1 · 2011-01-13 · 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{2TJZ7T2QOMNJY62PZQQPKER623}

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	2026-05-18T04:31:41.899302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d39fcf50731a9c7b4fcc20f5123ed6cadf92f296826494b92dc7ebd1e0347d

Aliases

arxiv: 1101.2537 · arxiv_version: 1101.2537v1 · doi: 10.48550/arxiv.1101.2537 · pith_short_12: 2TJZ7T2QOMNJ · pith_short_16: 2TJZ7T2QOMNJY62P · pith_short_8: 2TJZ7T2Q

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/2TJZ7T2QOMNJY62PZQQPKER623 \
  | 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: d4d39fcf50731a9c7b4fcc20f5123ed6cadf92f296826494b92dc7ebd1e0347d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ee279a382cedddd2663af8b7949b39f57edb9df185888db79825078f3bfb87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-01-13T11:15:15Z",
    "title_canon_sha256": "c3eb259cc5fdba8126a179c79c21c23d22b48439a4f78a45664ffa5fdb00e76a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2537",
    "kind": "arxiv",
    "version": 1
  }
}