Pith Number

pith:P3YTYZ3M

pith:2024:P3YTYZ3M2KYQTBFPGIOXQIW2N5

not attested not anchored not stored refs pending

Black Hole Shadow and other Observables away from the Horizon: Extending the Effective Metric Descriptions

Francesco Sannino, Manuel Del Piano, Stefan Hohenegger

arxiv:2412.13673 v1 · 2024-12-18 · gr-qc · astro-ph.SR · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3YTYZ3M2KYQTBFPGIOXQIW2N5}

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

Confronting eikonal and post-Kerr methods with numerical evolution of scalar field perturbations in spacetimes beyond Kerr

Receipt and verification

First computed	2026-07-05T09:51:06.167573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef13c676cd2b10984af321d7822da6f6fa55001a33be31715afca0e4a39a5d9

Aliases

arxiv: 2412.13673 · arxiv_version: 2412.13673v1 · doi: 10.48550/arxiv.2412.13673 · pith_short_12: P3YTYZ3M2KYQ · pith_short_16: P3YTYZ3M2KYQTBFP · pith_short_8: P3YTYZ3M

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/P3YTYZ3M2KYQTBFPGIOXQIW2N5 \
  | 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: 7ef13c676cd2b10984af321d7822da6f6fa55001a33be31715afca0e4a39a5d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c637c2ce5f78722a3d66fcaae752fa063b5800be5aff41ad98a2ad00bb9e87b",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-18T09:57:17Z",
    "title_canon_sha256": "6127dbe69ee1e1bef6b48e59a2a561b0120581fc3ff83b58f4165b6b5eb74033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13673",
    "kind": "arxiv",
    "version": 1
  }
}