Pith Number

pith:MSPN754K

pith:1993:MSPN754KF2VH75JGQTAJQ7NXRJ

not attested not anchored not stored refs pending

Path Integration and Separation of Variables in Spaces of Constant Curvature in Two and Three Dimensions

Christian Grosche

arxiv:hep-th/9311001 v2 · 1993-11-01 · 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{MSPN754KF2VH75JGQTAJQ7NXRJ}

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	2026-05-18T04:17:35.584831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

649edff78a2eaa7ff52684c0987db78a634a07e72d35c0a368c00ff65456edd3

Aliases

arxiv: hep-th/9311001 · arxiv_version: hep-th/9311001v2 · doi: 10.48550/arxiv.hep-th/9311001 · pith_short_12: MSPN754KF2VH · pith_short_16: MSPN754KF2VH75JG · pith_short_8: MSPN754K

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/MSPN754KF2VH75JGQTAJQ7NXRJ \
  | 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: 649edff78a2eaa7ff52684c0987db78a634a07e72d35c0a368c00ff65456edd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88254a23f957b94f236a6bcf917e518d232898e3fb896de97c7bdc464ca1fdb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-11-01T10:39:10Z",
    "title_canon_sha256": "ff1b89b1eb798aaf16c820a11633f321cc81f81b3806a986fc8e4bba93ea9c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9311001",
    "kind": "arxiv",
    "version": 2
  }
}