Pith Number

pith:MHGNILSM

pith:2012:MHGNILSMQMZVB2MNWFVAM2HJ53

not attested not anchored not stored refs pending

Primordial Black Holes from Passive Density Fluctuations

Chia-Min Lin, Kin-Wang Ng

arxiv:1206.1685 v2 · 2012-06-08 · hep-ph · 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{MHGNILSMQMZVB2MNWFVAM2HJ53}

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

The Magnetic Origin of Primordial Black Holes: Ultralight PBHs and Secondary GWs

Receipt and verification

First computed	2026-05-18T01:57:00.781826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ccd42e4c833350e98db16a0668e9eee8f8e0d4c0bee2149e97a9b9b8bc2e95

Aliases

arxiv: 1206.1685 · arxiv_version: 1206.1685v2 · doi: 10.48550/arxiv.1206.1685 · pith_short_12: MHGNILSMQMZV · pith_short_16: MHGNILSMQMZVB2MN · pith_short_8: MHGNILSM

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/MHGNILSMQMZVB2MNWFVAM2HJ53 \
  | 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: 61ccd42e4c833350e98db16a0668e9eee8f8e0d4c0bee2149e97a9b9b8bc2e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41a131ed52c64b6d88afb38e3177c2dbd65631e49e7e52358fcd2d2d13de38ff",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-08T07:40:00Z",
    "title_canon_sha256": "e59a5cfbaa18932ab08a76370b75d759bae32f5609caa8bb35fb23828fd175a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1685",
    "kind": "arxiv",
    "version": 2
  }
}