Pith Number

pith:M6CAM2MP

pith:2013:M6CAM2MP4RZFHRP5EEM4N4DIY4

not attested not anchored not stored refs pending

Hamiltonian Path Integrals In Momentum Space Representation via White Noise Techniques

Wolfgang Bock

arxiv:1307.4233 v1 · 2013-07-16 · math-ph · math.FA · math.MP · math.PR · 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{M6CAM2MP4RZFHRP5EEM4N4DIY4}

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	2026-05-18T01:22:08.831742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678406698fe47253c5fd2119c6f068c73bf7703278e67f27be8da8a55d2151d2

Aliases

arxiv: 1307.4233 · arxiv_version: 1307.4233v1 · doi: 10.48550/arxiv.1307.4233 · pith_short_12: M6CAM2MP4RZF · pith_short_16: M6CAM2MP4RZFHRP5 · pith_short_8: M6CAM2MP

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/M6CAM2MP4RZFHRP5EEM4N4DIY4 \
  | 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: 678406698fe47253c5fd2119c6f068c73bf7703278e67f27be8da8a55d2151d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b339672ec5346ff3e7d947406b4d378c3d2385d9f01ad48a5a4cb547f946c4",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-16T10:16:00Z",
    "title_canon_sha256": "ec4f1791f19467e5c486349dd70f321ad46f498d30a0a01e0e3f3fd5272cae5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4233",
    "kind": "arxiv",
    "version": 1
  }
}