Pith Number

pith:V7M7HWAN

pith:2025:V7M7HWAN3JEM2D7LREYVN23A2N

not attested not anchored not stored refs pending

Probing Hernquist dark matter through the optical appearance of black holes: A comprehensive study of various accretions

Hongbo Cheng, Yuxuan Shi

arxiv:2509.11245 v4 · 2025-09-14 · astro-ph.HE · astro-ph.GA · 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{V7M7HWAN3JEM2D7LREYVN23A2N}

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	2026-05-21T01:04:16.705063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd9f3d80dda48cd0feb893156eb60d364ed6d0d692f3c8cbfa337fcd3ee8102

Aliases

arxiv: 2509.11245 · arxiv_version: 2509.11245v4 · doi: 10.48550/arxiv.2509.11245 · pith_short_12: V7M7HWAN3JEM · pith_short_16: V7M7HWAN3JEM2D7L · pith_short_8: V7M7HWAN

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/V7M7HWAN3JEM2D7LREYVN23A2N \
  | 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: afd9f3d80dda48cd0feb893156eb60d364ed6d0d692f3c8cbfa337fcd3ee8102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b305c0260190d54d546bb1b57db18a65ef7b617b6e303b948a26abd9f58ee42",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2025-09-14T12:43:26Z",
    "title_canon_sha256": "feb72cef3043408a0596c620919b15390dd9d465ce871e6098e4469d994075e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11245",
    "kind": "arxiv",
    "version": 4
  }
}