Pith Number

pith:TFETECXV

pith:2025:TFETECXVJDT2VQUK3L2KU65SSJ

not attested not anchored not stored refs pending

Optical appearance of regularized compact objects without an exterior photon sphere

Ashok B. Joshi, Parth C. Varasani, Vishva Patel

arxiv:2512.19406 v3 · 2025-12-22 · 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{TFETECXVJDT2VQUK3L2KU65SSJ}

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	2026-07-28T01:23:28.080054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9949320af548e7aac28adaf4aa7bb2925e93400b279b903dc040f160c5603bd5

Aliases

arxiv: 2512.19406 · arxiv_version: 2512.19406v3 · doi: 10.48550/arxiv.2512.19406 · pith_short_12: TFETECXVJDT2 · pith_short_16: TFETECXVJDT2VQUK · pith_short_8: TFETECXV

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/TFETECXVJDT2VQUK3L2KU65SSJ \
  | 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: 9949320af548e7aac28adaf4aa7bb2925e93400b279b903dc040f160c5603bd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214d24d90ce91faf4268b28a5b1e17051561850303ae8dfa850e695a0aa6feba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-22T14:00:26Z",
    "title_canon_sha256": "f0d86209939f560b5814ec7f709503e5804136d9a5696559ca8253f02b36e56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19406",
    "kind": "arxiv",
    "version": 3
  }
}