Pith Number

pith:4JBF2VFZ

pith:2017:4JBF2VFZ6QZSEZNS6TYXHK5ITD

not attested not anchored not stored refs pending

Collapse threshold for a cosmological Klein Gordon field

Gabriel German, Josue De-Santiago, Juan Carlos Hidalgo, Nandinii Barbosa-Cendejas, Waldemar Ruiz-Luna

arxiv:1705.02308 v2 · 2017-05-05 · astro-ph.CO · gr-qc · hep-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{4JBF2VFZ6QZSEZNS6TYXHK5ITD}

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

1 paper in Pith

Primordial Black Holes as Dark Matter: Recent Developments

Receipt and verification

First computed	2026-05-18T00:35:20.739010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2425d54b9f4332265b2f4f173aba898ff0c6a9613de0fd09ae28b5102771d30

Aliases

arxiv: 1705.02308 · arxiv_version: 1705.02308v2 · doi: 10.48550/arxiv.1705.02308 · pith_short_12: 4JBF2VFZ6QZS · pith_short_16: 4JBF2VFZ6QZSEZNS · pith_short_8: 4JBF2VFZ

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/4JBF2VFZ6QZSEZNS6TYXHK5ITD \
  | 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: e2425d54b9f4332265b2f4f173aba898ff0c6a9613de0fd09ae28b5102771d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b1aae43994457282498dcab5ce73108b572349be6b053beb90f1cf0b00ab7f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-05-05T17:21:16Z",
    "title_canon_sha256": "9a7af74b912663e2ef2b486c14db87a6186e2f40c29809bff90e914502790606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02308",
    "kind": "arxiv",
    "version": 2
  }
}