Pith Number

pith:ZL4XD3ZF

pith:2016:ZL4XD3ZF5UVCCYDX4T4CPPI3LB

not attested not anchored not stored refs pending

Constraint on the abundance of primordial black holes in dark matter from Planck data

Ke Wang, Lu Chen, Qing-Guo Huang

arxiv:1608.02174 v2 · 2016-08-07 · astro-ph.CO · gr-qc · hep-ph · 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{ZL4XD3ZF5UVCCYDX4T4CPPI3LB}

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	2026-05-18T00:53:30.640650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf971ef25ed2a216077e4f827bd1b585b5f5a265d9cf09138f21ffbb3e5798d

Aliases

arxiv: 1608.02174 · arxiv_version: 1608.02174v2 · doi: 10.48550/arxiv.1608.02174 · pith_short_12: ZL4XD3ZF5UVC · pith_short_16: ZL4XD3ZF5UVCCYDX · pith_short_8: ZL4XD3ZF

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/ZL4XD3ZF5UVCCYDX4T4CPPI3LB \
  | 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: caf971ef25ed2a216077e4f827bd1b585b5f5a265d9cf09138f21ffbb3e5798d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feab72b091196f1937215a9bcae4a9a224662581b17bf1e53bc1efbba379783b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-08-07T02:21:50Z",
    "title_canon_sha256": "4be0dc0ec05a78a6b3125f74c4f06043e10efdfd642414dbc0042228a38d98a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02174",
    "kind": "arxiv",
    "version": 2
  }
}