Pith Number

pith:YVMK5H3G

pith:2007:YVMK5H3G7MEVIRS646YJXHDVQV

not attested not anchored not stored refs pending

A Mathematical Justification for the Herman-Kluk Propagator

Torben Swart, Vidian Rousse

arxiv:0712.0752 v2 · 2007-12-05 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVMK5H3G7MEVIRS646YJXHDVQV}

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	2026-05-18T04:09:04.359881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c558ae9f66fb0954465ee7b09b9c75855f1edb7896e2e9de0c210cdc4519d52e

Aliases

arxiv: 0712.0752 · arxiv_version: 0712.0752v2 · doi: 10.48550/arxiv.0712.0752 · pith_short_12: YVMK5H3G7MEV · pith_short_16: YVMK5H3G7MEVIRS6 · pith_short_8: YVMK5H3G

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/YVMK5H3G7MEVIRS646YJXHDVQV \
  | 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: c558ae9f66fb0954465ee7b09b9c75855f1edb7896e2e9de0c210cdc4519d52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563d7881bc4a75ccbb9c6bb7004e84c1bfab2cce7ded6ca0d0411c77b05be8b2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-12-05T16:24:53Z",
    "title_canon_sha256": "aada9581447f931c7169d3dc321ce0c02cb96ca9e338426f23b17ce6abe57992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0752",
    "kind": "arxiv",
    "version": 2
  }
}