Pith Number

pith:3EBFF7ZO

pith:2016:3EBFF7ZO2AT64JAHYPZMLNK7MG

not attested not anchored not stored refs pending

Tracing Primordial Black Holes in Nonsingular Bouncing Cosmology

Hao-Lan Xu, Jie-Wen Chen, Junyu Liu, Yi-Fu Cai

arxiv:1609.02571 v3 · 2016-09-08 · 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{3EBFF7ZO2AT64JAHYPZMLNK7MG}

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	2026-05-18T00:44:18.777775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d90252ff2ed027ee2407c3f2c5b55f619c0312665b35965e312dcdd1088d9a29

Aliases

arxiv: 1609.02571 · arxiv_version: 1609.02571v3 · doi: 10.48550/arxiv.1609.02571 · pith_short_12: 3EBFF7ZO2AT6 · pith_short_16: 3EBFF7ZO2AT64JAH · pith_short_8: 3EBFF7ZO

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/3EBFF7ZO2AT64JAHYPZMLNK7MG \
  | 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: d90252ff2ed027ee2407c3f2c5b55f619c0312665b35965e312dcdd1088d9a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77f406949b475aa855a9a82733cd0d20f36a98c1e7a6059c0de93b696a6aae5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-08T20:00:41Z",
    "title_canon_sha256": "f2a9866c8ed99301751946b3e160740ded5576b19320bca7d64b84f2674d148e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02571",
    "kind": "arxiv",
    "version": 3
  }
}