Pith Number

pith:4VP2B5HQ

pith:2011:4VP2B5HQ2EDZ5EEOA7MC4Q4I3H

not attested not anchored not stored refs pending

Neutral and charged matter in equilibrium with black holes

K.A. Bronnikov, O.B. Zaslavskii

arxiv:1107.4701 v3 · 2011-07-23 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VP2B5HQ2EDZ5EEOA7MC4Q4I3H}

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	2026-05-18T03:23:22.815455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55fa0f4f0d1079e908e07d82e4388d9e79577a311c10d0c200ff24e6c48b752

Aliases

arxiv: 1107.4701 · arxiv_version: 1107.4701v3 · doi: 10.48550/arxiv.1107.4701 · pith_short_12: 4VP2B5HQ2EDZ · pith_short_16: 4VP2B5HQ2EDZ5EEO · pith_short_8: 4VP2B5HQ

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/4VP2B5HQ2EDZ5EEOA7MC4Q4I3H \
  | 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: e55fa0f4f0d1079e908e07d82e4388d9e79577a311c10d0c200ff24e6c48b752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd628bea4c434c233868b66d019e4f1c9ee9ec4ae333722d2bab1333608d4bf",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-23T18:04:49Z",
    "title_canon_sha256": "5a79f72f83142584579c1a167b3f434387ddeb8b483c71e0f43bee44b6932074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4701",
    "kind": "arxiv",
    "version": 3
  }
}