Pith Number

pith:4GYFARLR

pith:2003:4GYFARLRCN7KUQG7BF7HZWIYTA

not attested not anchored not stored refs pending

Quantum Mechanical Propagators in Terms of Hida Distributions

Angelika Lascheck, Ludwig Streit, Peter Leukert, Werner Westerkamp

arxiv:math-ph/0303012 v1 · 2003-03-04 · 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{4GYFARLRCN7KUQG7BF7HZWIYTA}

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	2026-05-18T01:38:33.883169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b0504571137eaa40df097e7cd9189809169b66c72f026c17bb59b187f605f3

Aliases

arxiv: math-ph/0303012 · arxiv_version: math-ph/0303012v1 · doi: 10.48550/arxiv.math-ph/0303012 · pith_short_12: 4GYFARLRCN7K · pith_short_16: 4GYFARLRCN7KUQG7 · pith_short_8: 4GYFARLR

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/4GYFARLRCN7KUQG7BF7HZWIYTA \
  | 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: e1b0504571137eaa40df097e7cd9189809169b66c72f026c17bb59b187f605f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1c3654178c6ed28c697a73905a2593581a365adf2933f460cd5b2fc005a20a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-03-04T19:41:35Z",
    "title_canon_sha256": "9db225c17c9e2c69de43698eb9da6b3ad2bd13d4a3964a37055697cfaa6c6709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0303012",
    "kind": "arxiv",
    "version": 1
  }
}