Pith Number

pith:45SPUGSG

pith:2007:45SPUGSGJRT7YA2AQNRW5R5THU

not attested not anchored not stored refs pending

On Einstein clusters as galactic dark matter halos

C. G. Boehmer, T. Harko

arxiv:0705.1756 v2 · 2007-05-12 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45SPUGSGJRT7YA2AQNRW5R5THU}

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

5 papers in Pith

As Cold as a Black Hole: Extended Photon Spheres

On Black Holes Surrounded by Radiation: I. Classical Considerations

Astrophysical environment around a black hole in the braneworld and its optical signatures

Dark matter and modified gravity: Einstein clusters from a non-minimally coupled vector field

Axial tidal Love numbers of black holes in matter environments

Receipt and verification

First computed	2026-07-04T15:24:56.277580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e764fa1a464c67fc034083636ec7b33d38d1edd675fce9e61dbe73488c241606

Aliases

arxiv: 0705.1756 · arxiv_version: 0705.1756v2 · doi: 10.48550/arxiv.0705.1756 · pith_short_12: 45SPUGSGJRT7 · pith_short_16: 45SPUGSGJRT7YA2A · pith_short_8: 45SPUGSG

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/45SPUGSGJRT7YA2AQNRW5R5THU \
  | 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: e764fa1a464c67fc034083636ec7b33d38d1edd675fce9e61dbe73488c241606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38c2348bf8872d59867e1862a8bda8b2a227c28c621ddcc187608d5c1afd47a7",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-05-12T09:55:12Z",
    "title_canon_sha256": "09a59d304214fc42dc7c96a5ef70b0180fd038d2810d1c37b24c6a7a1e78549c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1756",
    "kind": "arxiv",
    "version": 2
  }
}