Pith Number

pith:5HHMXAEP

pith:2002:5HHMXAEP5HK7D4RYQOI2BCQKMD

not attested not anchored not stored refs pending

Complex Probabilities on R^N as Real Probabilities on C^N and an Application to Path Integrals

Don Weingarten

arxiv:quant-ph/0210195 v1 · 2002-10-29 · quant-ph · hep-lat · 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{5HHMXAEP5HK7D4RYQOI2BCQKMD}

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

Correctness criteria for complex Langevin

Receipt and verification

First computed	2026-07-04T16:36:12.180800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9cecb808fe9d5f1f2388391a08a0a60e3a27e22c635eda81e75094fc12c3b5d

Aliases

arxiv: quant-ph/0210195 · arxiv_version: quant-ph/0210195v1 · doi: 10.48550/arxiv.quant-ph/0210195 · pith_short_12: 5HHMXAEP5HK7 · pith_short_16: 5HHMXAEP5HK7D4RY · pith_short_8: 5HHMXAEP

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/5HHMXAEP5HK7D4RYQOI2BCQKMD \
  | 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: e9cecb808fe9d5f1f2388391a08a0a60e3a27e22c635eda81e75094fc12c3b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc9a0495fefc27f0efe948d8b0edde5d9a92d3983ab51dc8a69d4b19457c43d",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-10-29T02:31:11Z",
    "title_canon_sha256": "2f1c43dd746314d62f35dc33da2e6d4d3f87815a1a59e2c0fef0c01c17d4983f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0210195",
    "kind": "arxiv",
    "version": 1
  }
}