Pith Number

pith:3LF3BZWI

pith:2011:3LF3BZWI2RKXBJZ73SN4ZSHMWV

not attested not anchored not stored refs pending

Primordial black holes, astrophysical systems and the Eddington-Weinberg relation

G. Cristofano, M. De Laurentis, S. Capozziello

arxiv:1110.1175 v1 · 2011-10-06 · gr-qc · astro-ph.CO · 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{3LF3BZWI2RKXBJZ73SN4ZSHMWV}

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	2026-05-18T02:00:17.199388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacbb0e6c8d45570a73fdc9bccc8ecb5709aa93d2620fdd3ca9f5ef35a2e15cd

Aliases

arxiv: 1110.1175 · arxiv_version: 1110.1175v1 · doi: 10.48550/arxiv.1110.1175 · pith_short_12: 3LF3BZWI2RKX · pith_short_16: 3LF3BZWI2RKXBJZ7 · pith_short_8: 3LF3BZWI

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/3LF3BZWI2RKXBJZ73SN4ZSHMWV \
  | 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: dacbb0e6c8d45570a73fdc9bccc8ecb5709aa93d2620fdd3ca9f5ef35a2e15cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927dbed70f7888416e2c5f47dced7302de09536906fca80d3cc63b7bd643ed2b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-06T08:08:35Z",
    "title_canon_sha256": "af0e97dd109c359137a92d34b157d049642522c14bd176a09b4c71723c74d63c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1175",
    "kind": "arxiv",
    "version": 1
  }
}