Pith Number

pith:ZXVQ4HLY

pith:2007:ZXVQ4HLYTLNSYWGBVQGPJ6VO4I

not attested not anchored not stored refs pending

Evolution of Primordial Black Holes in a radiation and phantom energy environment

Daniel C. Guariento, J. A. de Freitas Pacheco, J. E. Horvath, P. S. Cust\'odio

arxiv:0711.3641 v1 · 2007-11-22 · 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{ZXVQ4HLYTLNSYWGBVQGPJ6VO4I}

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	2026-07-04T15:27:59.236699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdeb0e1d789adb2c58c1ac0cf4faaee2342d678631d27d2af1b7c6e3472f6c63

Aliases

arxiv: 0711.3641 · arxiv_version: 0711.3641v1 · doi: 10.48550/arxiv.0711.3641 · pith_short_12: ZXVQ4HLYTLNS · pith_short_16: ZXVQ4HLYTLNSYWGB · pith_short_8: ZXVQ4HLY

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/ZXVQ4HLYTLNSYWGBVQGPJ6VO4I \
  | 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: cdeb0e1d789adb2c58c1ac0cf4faaee2342d678631d27d2af1b7c6e3472f6c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c38bc2b0bce25e310c1f129ffa35bfabc91e9e90e73125765a630e0338505fed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-11-22T19:52:58Z",
    "title_canon_sha256": "e3a85a3c834cc597b01621164a539cbd93d187cdcb79510549fab942661bbef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3641",
    "kind": "arxiv",
    "version": 1
  }
}