Pith Number

pith:ZVYJ3UNZ

pith:1996:ZVYJ3UNZHDNPHYO4S7KB5ZE2CE

not attested not anchored not stored refs pending

A Local Variational Theory for the Schmidt metric

Fredrik St{\aa}hl

arxiv:gr-qc/9612005 v1 · 1996-12-02 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVYJ3UNZHDNPHYO4S7KB5ZE2CE}

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	2026-07-04T16:01:19.726725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd709dd1b938daf3e1dc97d41ee49a111ef645f434d1b86d0d7752b4849e3a48

Aliases

arxiv: gr-qc/9612005 · arxiv_version: gr-qc/9612005v1 · doi: 10.48550/arxiv.gr-qc/9612005 · pith_short_12: ZVYJ3UNZHDNP · pith_short_16: ZVYJ3UNZHDNPHYO4 · pith_short_8: ZVYJ3UNZ

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/ZVYJ3UNZHDNPHYO4S7KB5ZE2CE \
  | 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: cd709dd1b938daf3e1dc97d41ee49a111ef645f434d1b86d0d7752b4849e3a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff025b710e0a97566f6bde2f9a0c945f314893d5caf5c6b70e8f1299e9801032",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-12-02T15:25:21Z",
    "title_canon_sha256": "cec9f4f60125369eb8b363da381b727cb891efe63712d2ae67447fa59eb34d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9612005",
    "kind": "arxiv",
    "version": 1
  }
}