Pith Number

pith:FPU46TZC

pith:2004:FPU46TZCT4YNTBWD3WB3EGDI5E

not attested not anchored not stored refs pending

Light deflection in Weyl gravity: critical distances for photon paths

S. Pireaux

arxiv:gr-qc/0403071 v1 · 2004-03-16 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPU46TZCT4YNTBWD3WB3EGDI5E}

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	2026-07-04T14:25:45.112937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be9cf4f229f30d986c3dd83b21868e90ef83fe4c994eda4e3ef2905370c3238

Aliases

arxiv: gr-qc/0403071 · arxiv_version: gr-qc/0403071v1 · doi: 10.48550/arxiv.gr-qc/0403071 · pith_short_12: FPU46TZCT4YN · pith_short_16: FPU46TZCT4YNTBWD · pith_short_8: FPU46TZC

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/FPU46TZCT4YNTBWD3WB3EGDI5E \
  | 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: 2be9cf4f229f30d986c3dd83b21868e90ef83fe4c994eda4e3ef2905370c3238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c17ba4b7933b0c09ef89d6b0190928b8bfb779c18e50e5d8bebf7583df3298e",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-03-16T18:21:27Z",
    "title_canon_sha256": "2f46b11c599e8874ae56d6936ec6b3e774c7336d4db4f2654f9132a063370bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0403071",
    "kind": "arxiv",
    "version": 1
  }
}