Pith Number

pith:ZCIGULZL

pith:2001:ZCIGULZLRF4D7PJIA6QIFHT37T

not attested not anchored not stored refs pending

The Schwarzschild solution in a Kaluza-Klein theory with two times

J. Kocinski, M. Wierzbicki

arxiv:gr-qc/0110075 v1 · 2001-10-17 · 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{ZCIGULZLRF4D7PJIA6QIFHT37T}

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	2026-05-18T04:35:35.108936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8906a2f2b89783fbd2807a0829e7bfcdb88f11716c6cbf27ff7c0f0f838e843

Aliases

arxiv: gr-qc/0110075 · arxiv_version: gr-qc/0110075v1 · doi: 10.48550/arxiv.gr-qc/0110075 · pith_short_12: ZCIGULZLRF4D · pith_short_16: ZCIGULZLRF4D7PJI · pith_short_8: ZCIGULZL

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/ZCIGULZLRF4D7PJIA6QIFHT37T \
  | 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: c8906a2f2b89783fbd2807a0829e7bfcdb88f11716c6cbf27ff7c0f0f838e843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caec36b65237e85dbbf936bd75d2f09b3e456c504d62d485661e157d2e22ced7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-10-17T08:39:53Z",
    "title_canon_sha256": "03e399e50d14ce811008d66a9dc4eb39d0ed4e815a353d5e768b925c8bb456ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0110075",
    "kind": "arxiv",
    "version": 1
  }
}