Pith Number

pith:RN4CPMPG

pith:2011:RN4CPMPGSEO46RG7PKXEHUPDUX

not attested not anchored not stored refs pending

The case for primordial black holes as dark matter

M.R.S. Hawkins

arxiv:1106.3875 v1 · 2011-06-20 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RN4CPMPGSEO46RG7PKXEHUPDUX}

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	2026-05-18T04:19:41.925130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b7827b1e6911dcf44df7aae43d1e3a5f1c4512b813af1cfcea4ef7c251ecd4b

Aliases

arxiv: 1106.3875 · arxiv_version: 1106.3875v1 · doi: 10.48550/arxiv.1106.3875 · pith_short_12: RN4CPMPGSEO4 · pith_short_16: RN4CPMPGSEO46RG7 · pith_short_8: RN4CPMPG

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/RN4CPMPGSEO46RG7PKXEHUPDUX \
  | 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: 8b7827b1e6911dcf44df7aae43d1e3a5f1c4512b813af1cfcea4ef7c251ecd4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0da8d707e515fdeec402c026f97c0e5fb2a719c374f4837cbd6f489405f39a8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-06-20T12:04:40Z",
    "title_canon_sha256": "0f5467ac83ba59ad9d096aefc2ecfb6ced627e50b1fa8c978ceb12679ff93495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3875",
    "kind": "arxiv",
    "version": 1
  }
}