Pith Number

pith:7JA5KKXI

pith:2010:7JA5KKXIAQTEGOFWW4HNTIMN4O

not attested not anchored not stored refs pending

Quantum particles from classical probabilities in phase space

C. Wetterich

arxiv:1003.0772 v2 · 2010-03-03 · 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{7JA5KKXIAQTEGOFWW4HNTIMN4O}

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.

Cited by

1 paper in Pith

Quantum mechanics for classical transport equations

Receipt and verification

First computed	2026-05-18T04:06:19.276570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa41d52ae804264338b6b70ed9a18de398c7893c63f21d1408ebc380ac410d12

Aliases

arxiv: 1003.0772 · arxiv_version: 1003.0772v2 · doi: 10.48550/arxiv.1003.0772 · pith_short_12: 7JA5KKXIAQTE · pith_short_16: 7JA5KKXIAQTEGOFW · pith_short_8: 7JA5KKXI

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/7JA5KKXIAQTEGOFWW4HNTIMN4O \
  | 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: fa41d52ae804264338b6b70ed9a18de398c7893c63f21d1408ebc380ac410d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e2ac0c8f87c3382ebe87365148e40333c1161a57e12ab72a1332750a8dcb16f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-03T10:30:23Z",
    "title_canon_sha256": "74dbb42aa9175e4c366d2c66abdf17a677c29a6e3fade6a76e8a3ca92f60d26c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0772",
    "kind": "arxiv",
    "version": 2
  }
}