Pith Number

pith:BGZ4VFJU

pith:2012:BGZ4VFJU23K6OPSQNWG5VDBKV3

not attested not anchored not stored refs pending

Geometry of the quasi-hyperbolic Szekeres models

Andrzej Krasi\'nski, Krzysztof Bolejko

arxiv:1208.2604 v3 · 2012-08-13 · 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{BGZ4VFJU23K6OPSQNWG5VDBKV3}

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	2026-05-18T03:22:29.362444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b3ca9534d6d5e73e506d8dda8c2aaee95de0dc8541ece751d641e4edee1d28

Aliases

arxiv: 1208.2604 · arxiv_version: 1208.2604v3 · doi: 10.48550/arxiv.1208.2604 · pith_short_12: BGZ4VFJU23K6 · pith_short_16: BGZ4VFJU23K6OPSQ · pith_short_8: BGZ4VFJU

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/BGZ4VFJU23K6OPSQNWG5VDBKV3 \
  | 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: 09b3ca9534d6d5e73e506d8dda8c2aaee95de0dc8541ece751d641e4edee1d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72cd4ad867c18e9792bd6ee63d6abdd3d51185d7e8b32cb9efeb28f448fd260e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-13T14:51:31Z",
    "title_canon_sha256": "0b65eecf863079d0499014e3760595d5c7409c02154c73815e915ec2cfd257a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2604",
    "kind": "arxiv",
    "version": 3
  }
}