Pith Number

pith:FCYDLMQI

pith:2002:FCYDLMQILWM2OZY3EMBN4GPMRV

not attested not anchored not stored refs pending

Integrals over Products of Distributions from Manifest Coordinate Invariance of Perturbation Expansions of Path Integrals in Curved Space

A. Chervyakov, H. Kleinert

arxiv:quant-ph/0208067 v1 · 2002-08-10 · quant-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCYDLMQILWM2OZY3EMBN4GPMRV}

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	2026-05-18T04:17:25.822932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b035b2085d99a7671b2302de19ec8d47e9a390badc7cec1d8f698ff0b8088f

Aliases

arxiv: quant-ph/0208067 · arxiv_version: quant-ph/0208067v1 · doi: 10.48550/arxiv.quant-ph/0208067 · pith_short_12: FCYDLMQILWM2 · pith_short_16: FCYDLMQILWM2OZY3 · pith_short_8: FCYDLMQI

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/FCYDLMQILWM2OZY3EMBN4GPMRV \
  | 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: 28b035b2085d99a7671b2302de19ec8d47e9a390badc7cec1d8f698ff0b8088f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c0b9b4bd1f8bd6e2eb4a5b0cf51e1fe0229f885b1c81444dd11fb29fa89a1a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-08-10T09:59:23Z",
    "title_canon_sha256": "eea287c473778513fe9768381509f6d310a1ae3cf9b957b830128684ce6c9e17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0208067",
    "kind": "arxiv",
    "version": 1
  }
}