Pith Number

pith:VNIRKKB2

pith:2005:VNIRKKB2PHVIKIHOB4TEZMT4HY

not attested not anchored not stored refs pending

't Hooft's quantum determinism -- path integral viewpoint

Hagen Kleinert, Massimo Blasone, Petr Jizba

arxiv:quant-ph/0504047 v1 · 2005-04-07 · 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{VNIRKKB2PHVIKIHOB4TEZMT4HY}

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	2026-05-18T01:37:57.884223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5115283a79ea8520ee0f264cb27c3e375409070656ca6594fd5390864d0564

Aliases

arxiv: quant-ph/0504047 · arxiv_version: quant-ph/0504047v1 · doi: 10.48550/arxiv.quant-ph/0504047 · pith_short_12: VNIRKKB2PHVI · pith_short_16: VNIRKKB2PHVIKIHO · pith_short_8: VNIRKKB2

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/VNIRKKB2PHVIKIHOB4TEZMT4HY \
  | 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: ab5115283a79ea8520ee0f264cb27c3e375409070656ca6594fd5390864d0564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b620b82ebff97cf64db00ffc2ada89124df73bce4d7c03a3c4e4fa6c9f04b1af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-04-07T13:52:06Z",
    "title_canon_sha256": "db3728dea5821c3f454c7affcf58b90767f53761a9e6454e87d18cdceda246bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0504047",
    "kind": "arxiv",
    "version": 1
  }
}