Pith Number

pith:FBILM4ZG

pith:2026:FBILM4ZGM2467Q36EROZDNSLXO

not attested not anchored not stored refs pending

Phase-plane formulation of weak gravitational deflection in static spherical spacetimes

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

arxiv:2608.12423 v1 · 2026-08-12 · 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{FBILM4ZGM2467Q36EROZDNSLXO}

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	2026-08-14T00:42:55.215466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2850b6732666b9efc37e245d91b64bbb95de099675f59d39e66a2e28e529c863

Aliases

arxiv: 2608.12423 · arxiv_version: 2608.12423v1 · doi: 10.48550/arxiv.2608.12423 · pith_short_12: FBILM4ZGM246 · pith_short_16: FBILM4ZGM2467Q36 · pith_short_8: FBILM4ZG

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/FBILM4ZGM2467Q36EROZDNSLXO \
  | 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: 2850b6732666b9efc37e245d91b64bbb95de099675f59d39e66a2e28e529c863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "415d54cb8ec1ba5f1fe8ae643c94071b0653ae2d51107bf253dd76e371df5302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-12T10:09:24Z",
    "title_canon_sha256": "91c525cdf6f3c51ba0a65a413785f59af5a93c1f2ec81d8a67681663e8678259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12423",
    "kind": "arxiv",
    "version": 1
  }
}