Pith Number

pith:LNNH3D7Y

pith:2021:LNNH3D7Y4WP2XHPOSZ7GTXANJC

not attested not anchored not stored refs pending

Revisiting the constraints on primordial black hole abundance with the isotropic gamma ray background

Guangbo Long, Hong-Hao Zhang, Siyu Chen

arxiv:2112.15463 v3 · 2021-12-31 · astro-ph.CO · astro-ph.HE · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNNH3D7Y4WP2XHPOSZ7GTXANJC}

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

High-energy neutrino constraints on primordial black holes as dark matter

Receipt and verification

First computed	2026-07-05T04:07:30.146598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b5a7d8ff8e59fab9dee967e69dc0d4889ef352d6e795695787b96abf3d39689

Aliases

arxiv: 2112.15463 · arxiv_version: 2112.15463v3 · doi: 10.48550/arxiv.2112.15463 · pith_short_12: LNNH3D7Y4WP2 · pith_short_16: LNNH3D7Y4WP2XHPO · pith_short_8: LNNH3D7Y

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/LNNH3D7Y4WP2XHPOSZ7GTXANJC \
  | 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: 5b5a7d8ff8e59fab9dee967e69dc0d4889ef352d6e795695787b96abf3d39689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3387e3eaee9d64c2e8ddaf35976b1303cb4c2d7aabd4b79dbbd4504c1a87cd",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-12-31T14:00:19Z",
    "title_canon_sha256": "75dbd909a696ce4d6a687ae38d25d64a6bc85821b7043fe5a8208f4a6a7ca8e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15463",
    "kind": "arxiv",
    "version": 3
  }
}