Pith Number

pith:ZDACD73O

pith:2026:ZDACD73OKEMXA4JLOVI64ZR7CJ

not attested not anchored not stored refs pending

Viscosity effects on the shadow of a non-rotating black hole

Alejandro Cruz-Osorio, Jos\'e A. Font, Sayantani Lahiri, Sergio Gimeno-Soler, Ziri Younsi

arxiv:2607.21713 v1 · 2026-07-23 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDACD73OKEMXA4JLOVI64ZR7CJ}

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	2026-07-27T00:20:16.974886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c021ff6e511970712b7551ee663f1246af5e771f3a3c8969c7a70273e31f5e

Aliases

arxiv: 2607.21713 · arxiv_version: 2607.21713v1 · doi: 10.48550/arxiv.2607.21713 · pith_short_12: ZDACD73OKEMX · pith_short_16: ZDACD73OKEMXA4JL · pith_short_8: ZDACD73O

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/ZDACD73OKEMXA4JLOVI64ZR7CJ \
  | 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: c8c021ff6e511970712b7551ee663f1246af5e771f3a3c8969c7a70273e31f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d39a968f92e21258342259d7bc8aa568b3dfe80ecbece4057bd6c048e31969",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-23T18:01:10Z",
    "title_canon_sha256": "c9d9c2aa1c56cf2adcd2e98ba8987ed65ba2842c78118ff4460374469a30a476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21713",
    "kind": "arxiv",
    "version": 1
  }
}