Pith Number

pith:YSBBGQON

pith:2008:YSBBGQONMQH75JQURAUKIXK7EC

not attested not anchored not stored refs pending

Universal properties of the near-horizon optical geometry

C. M. Warnick, G. W. Gibbons

arxiv:0809.1571 v1 · 2008-09-09 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSBBGQONMQH75JQURAUKIXK7EC}

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.

Cited by

1 paper in Pith

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes

Receipt and verification

First computed	2026-07-04T17:12:39.780883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4821341cd640ffea6148828a45d5f20ba15eb5122de5401cda1de94b3f306ad

Aliases

arxiv: 0809.1571 · arxiv_version: 0809.1571v1 · doi: 10.48550/arxiv.0809.1571 · pith_short_12: YSBBGQONMQH7 · pith_short_16: YSBBGQONMQH75JQU · pith_short_8: YSBBGQON

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/YSBBGQONMQH75JQURAUKIXK7EC \
  | 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: c4821341cd640ffea6148828a45d5f20ba15eb5122de5401cda1de94b3f306ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ce17fb44b5171b40508411dc1f9003cc646bbf476b7cf07e848835fe1dfce9a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-09-09T14:42:03Z",
    "title_canon_sha256": "96f36f6300def3a846b86aeb30b4ecd6e45672b4aabbccd63d3c6ff994771531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1571",
    "kind": "arxiv",
    "version": 1
  }
}