Pith Number

pith:NIOTOWHZ

pith:2024:NIOTOWHZXFFHZXDKADEHSMFMO6

not attested not anchored not stored refs pending

General Approach on Shadow Radius and Photon Spheres in Asymptotically Flat Spacetimes and the Impact of Mass-Dependent Variations

Ali \"Ovg\"un, Vitalii Vertogradov

arxiv:2404.18536 v2 · 2024-04-29 · 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{NIOTOWHZXFFHZXDKADEHSMFMO6}

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

4 papers in Pith

Regular black hole solutions and the quark chemical potential at the QCD phase transition

Families of regular spacetimes and energy conditions

Energy conditions in static, spherically symmetric spacetimes and effective geometries

Receipt and verification

First computed	2026-07-05T08:25:53.674939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a1d3758f9b94a7cdc6a00c87930ac77bda2cf7fc84a95e7bf0ed3af78e16faa

Aliases

arxiv: 2404.18536 · arxiv_version: 2404.18536v2 · doi: 10.48550/arxiv.2404.18536 · pith_short_12: NIOTOWHZXFFH · pith_short_16: NIOTOWHZXFFHZXDK · pith_short_8: NIOTOWHZ

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/NIOTOWHZXFFHZXDKADEHSMFMO6 \
  | 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: 6a1d3758f9b94a7cdc6a00c87930ac77bda2cf7fc84a95e7bf0ed3af78e16faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a461d56e64c6a3d3243dc9a1e08d24c8790683103cdd140ef00678f3dedaf96",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-04-29T09:27:15Z",
    "title_canon_sha256": "a165d7a4e6ae53509268bb77e12a59347ea5a587c83d3decc9d58c1fe9076276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.18536",
    "kind": "arxiv",
    "version": 2
  }
}