Pith Number

pith:5XVGC3DM

pith:2016:5XVGC3DMVT6BREP3KWO75MPOFF

not attested not anchored not stored refs pending

Photon distributions and information nonnegativity versus quadrature uncertainty relation

L.A. Markovich, V.I. Man'ko

arxiv:1603.01345 v1 · 2016-03-04 · 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{5XVGC3DMVT6BREP3KWO75MPOFF}

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	2026-05-18T01:19:37.856867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edea616c6cacfc1891fb559dfeb1ee294277b8b30ddc4dada977536ffadf47d4

Aliases

arxiv: 1603.01345 · arxiv_version: 1603.01345v1 · doi: 10.48550/arxiv.1603.01345 · pith_short_12: 5XVGC3DMVT6B · pith_short_16: 5XVGC3DMVT6BREP3 · pith_short_8: 5XVGC3DM

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/5XVGC3DMVT6BREP3KWO75MPOFF \
  | 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: edea616c6cacfc1891fb559dfeb1ee294277b8b30ddc4dada977536ffadf47d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d63f8d90e5de0a362e70cbf368da2e7c56af8ce49fdd54e2707f0fb3542e583",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-04T04:41:07Z",
    "title_canon_sha256": "57bf1e980e07a170106fa3202291536efb583523824665808f0344d1f45e2193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01345",
    "kind": "arxiv",
    "version": 1
  }
}