Pith Number

pith:V6YIK43N

pith:2025:V6YIK43NNXY4IDPAB2QFKLDON5

not attested not anchored not stored refs pending

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes

Ali \"Ovg\"un, Reggie C. Pantig

arxiv:2507.16512 v2 · 2025-07-22 · 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{V6YIK43NNXY4IDPAB2QFKLDON5}

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	2026-06-03T01:05:05.183409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb085736d6df1c40de00ea0552c6e6f5d5df5b9ffa71da3f6434b89c7eed3e6

Aliases

arxiv: 2507.16512 · arxiv_version: 2507.16512v2 · doi: 10.48550/arxiv.2507.16512 · pith_short_12: V6YIK43NNXY4 · pith_short_16: V6YIK43NNXY4IDPA · pith_short_8: V6YIK43N

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/V6YIK43NNXY4IDPAB2QFKLDON5 \
  | 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: afb085736d6df1c40de00ea0552c6e6f5d5df5b9ffa71da3f6434b89c7eed3e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2acfcdc28a52ff7b8e60178999e9bc4897c9567c3386e5939dd95acc4baf2cf2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-22T12:19:13Z",
    "title_canon_sha256": "0a4ffc7bbd190f4b9fa7d3a765a09049642dcbdddb7b89f3fa87f5f95d97f642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16512",
    "kind": "arxiv",
    "version": 2
  }
}