Pith Number

pith:GRGMPJ53

pith:2018:GRGMPJ534VCNFT2FHDBKDCUHHJ

not attested not anchored not stored refs pending

Path integrals with discarded degrees of freedom

Luke M. Butcher

arxiv:1807.07007 v2 · 2018-07-18 · 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{GRGMPJ534VCNFT2FHDBKDCUHHJ}

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	2026-05-17T23:54:02.758544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344cc7a7bbe544d2cf4538c2a18a873a5bfad10df8101d92d72e8a9b5d380c15

Aliases

arxiv: 1807.07007 · arxiv_version: 1807.07007v2 · doi: 10.48550/arxiv.1807.07007 · pith_short_12: GRGMPJ534VCN · pith_short_16: GRGMPJ534VCNFT2F · pith_short_8: GRGMPJ53

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/GRGMPJ534VCNFT2FHDBKDCUHHJ \
  | 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: 344cc7a7bbe544d2cf4538c2a18a873a5bfad10df8101d92d72e8a9b5d380c15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c77e6b0fcc8e75e739c82319c7e2951bf0aa1b51ad010c4993a1e5a96b881b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-07-18T15:48:09Z",
    "title_canon_sha256": "e328b79afeb41b5d5f924043b5312f09f27ccc598f1e9f1b70c6d6d31dca58de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07007",
    "kind": "arxiv",
    "version": 2
  }
}