Pith Number

pith:B5RZHFVS

pith:2025:B5RZHFVSXRQWDUFHHWYRVDJRAK

not attested not anchored not stored refs pending

Photon spheres near black holes in a model with anisotropic fluid

A. N. Malybayev, B. Zheng, F. B. Belissarova, G. S. Nurbakova, N. Kydyrbay, S. V. Bolokhov, V. D. Ivashchuk

arxiv:2509.08465 v1 · 2025-09-10 · gr-qc · 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{B5RZHFVSXRQWDUFHHWYRVDJRAK}

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	2026-07-05T12:08:30.533280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f639396b2bc6161d0a73db11a8d3102976a1bf061abb09b13d95cd63cdb9071

Aliases

arxiv: 2509.08465 · arxiv_version: 2509.08465v1 · doi: 10.48550/arxiv.2509.08465 · pith_short_12: B5RZHFVSXRQW · pith_short_16: B5RZHFVSXRQWDUFH · pith_short_8: B5RZHFVS

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/B5RZHFVSXRQWDUFHHWYRVDJRAK \
  | 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: 0f639396b2bc6161d0a73db11a8d3102976a1bf061abb09b13d95cd63cdb9071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05958d6d16a26720874ebdde6ed2530aa0291b968c33726177ee15eab16f03b9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-10T10:11:32Z",
    "title_canon_sha256": "312398a71d9c1fa01dfa1195b3aa351b79b91e61852d117c70db0ebfad346441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08465",
    "kind": "arxiv",
    "version": 1
  }
}