Pith Number

pith:HGLGZ7RA

pith:2001:HGLGZ7RAW6EYVTW7NTS3BVQBPV

not attested not anchored not stored refs pending

Geometry of Non-expanding Horizons and Their Neighborhoods

Jerzy lewandowski

arxiv:gr-qc/0101068 v1 · 2001-01-17 · 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{HGLGZ7RAW6EYVTW7NTS3BVQBPV}

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	2026-05-18T00:37:32.168183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39966cfe20b7898acedf6ce5b0d6017d615a3b5886b3c251a768550629d8e9b3

Aliases

arxiv: gr-qc/0101068 · arxiv_version: gr-qc/0101068v1 · doi: 10.48550/arxiv.gr-qc/0101068 · pith_short_12: HGLGZ7RAW6EY · pith_short_16: HGLGZ7RAW6EYVTW7 · pith_short_8: HGLGZ7RA

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/HGLGZ7RAW6EYVTW7NTS3BVQBPV \
  | 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: 39966cfe20b7898acedf6ce5b0d6017d615a3b5886b3c251a768550629d8e9b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f38f2ea0427d38969ae8f46459dbcccee5220946f388446531c5a866028abb0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-01-17T12:06:54Z",
    "title_canon_sha256": "9fc643ce26b7401ff7f0f6cbd65cc6e2879b8e256da9dae153d5075a547d8856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0101068",
    "kind": "arxiv",
    "version": 1
  }
}