Pith Number

pith:H6H2LJET

pith:2007:H6H2LJETFVEXXTSZHOL6Y4OI2M

not attested not anchored not stored refs pending

Primary caustics and critical points behind a Kerr black hole

F. De Luca (Univ. Zurich), M. Sereno

arxiv:0710.5923 v2 · 2007-10-31 · astro-ph · 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{H6H2LJETFVEXXTSZHOL6Y4OI2M}

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	2026-07-04T15:33:58.690960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f8fa5a4932d497bce593b97ec71c8d33edb7b57f013f825f59ed05405d4e55c

Aliases

arxiv: 0710.5923 · arxiv_version: 0710.5923v2 · doi: 10.48550/arxiv.0710.5923 · pith_short_12: H6H2LJETFVEX · pith_short_16: H6H2LJETFVEXXTSZ · pith_short_8: H6H2LJET

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/H6H2LJETFVEXXTSZHOL6Y4OI2M \
  | 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: 3f8fa5a4932d497bce593b97ec71c8d33edb7b57f013f825f59ed05405d4e55c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994f7a2f9a74902c2906809ed665349a4eefe8987716cac628b4b93e70e2c836",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-10-31T18:43:38Z",
    "title_canon_sha256": "5093c26c53d8720ee2e46912fdfc100be0f7dca1856c3476cd748f0c9f206a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5923",
    "kind": "arxiv",
    "version": 2
  }
}