Pith Number

pith:VFJ6OVXU

pith:2026:VFJ6OVXU7CTNDXBZDFXZIT4UWY

not attested not anchored not stored refs pending

Optical Signatures of Sgr A* and M87* with Dark Matter Halos

Mubasher Jamil, Muhammad Ali Paracha, Noraiz Tahir

arxiv:2608.06924 v1 · 2026-08-07 · astro-ph.CO · 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{VFJ6OVXU7CTNDXBZDFXZIT4UWY}

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	2026-08-10T01:12:31.669440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a953e756f4f8a6d1dc39196f944f94b622224dca2ef5ca173cca15f6dcbcc07d

Aliases

arxiv: 2608.06924 · arxiv_version: 2608.06924v1 · doi: 10.48550/arxiv.2608.06924 · pith_short_12: VFJ6OVXU7CTN · pith_short_16: VFJ6OVXU7CTNDXBZ · pith_short_8: VFJ6OVXU

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/VFJ6OVXU7CTNDXBZDFXZIT4UWY \
  | 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: a953e756f4f8a6d1dc39196f944f94b622224dca2ef5ca173cca15f6dcbcc07d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d7093adf47ce058b2d4ee44b9c274c7065b5cd223587527a444e3d52d286a5e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-08-07T07:58:29Z",
    "title_canon_sha256": "21c15b312df6340293040ca165469afd09b6c26211c5026cb59ebdc969b9d23b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06924",
    "kind": "arxiv",
    "version": 1
  }
}