Pith Number

pith:WRTZBTEJ

pith:2016:WRTZBTEJMQSHJ4UENTQ74BKXJG

not attested not anchored not stored refs pending

Uncertainties in primordial black-hole constraints on the primordial power spectrum

Florian Kuhnel, Marit Sandstad, Yashar Akrami

arxiv:1611.10069 v4 · 2016-11-30 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRTZBTEJMQSHJ4UENTQ74BKXJG}

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	2026-05-18T00:24:31.635049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46790cc89642474f2846ce1fe055749af50c17e24643486b48f299e9fa17fdd

Aliases

arxiv: 1611.10069 · arxiv_version: 1611.10069v4 · doi: 10.48550/arxiv.1611.10069 · pith_short_12: WRTZBTEJMQSH · pith_short_16: WRTZBTEJMQSHJ4UE · pith_short_8: WRTZBTEJ

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/WRTZBTEJMQSHJ4UENTQ74BKXJG \
  | 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: b46790cc89642474f2846ce1fe055749af50c17e24643486b48f299e9fa17fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1507aeb133e4a345100ef6eb9cd50cb4a2ea39fda019376d019bf0f95af05dad",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-11-30T09:59:10Z",
    "title_canon_sha256": "673868d46d08e79825ed30b1c8b55a3aca221fe7fe034f33ce46771653172553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10069",
    "kind": "arxiv",
    "version": 4
  }
}