Pith Number

pith:NGYYW4EO

pith:2019:NGYYW4EOG4P4AJHA3VTYEJZ42K

not attested not anchored not stored refs pending

Gravitational Lensing of the Cosmic Neutrino Background

Gilbert Holder, Joshua Yao-Yu Lin

arxiv:1910.03550 v3 · 2019-10-08 · 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{NGYYW4EOG4P4AJHA3VTYEJZ42K}

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

Effects of gravitational lensing on neutrino oscillation in Hu-Sawicki f(R) gravity

Receipt and verification

First computed	2026-07-05T01:01:36.140901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b18b708e371fc024e0dd6782273cd2aa16b4686eef89d6b6d039df4e919e0d

Aliases

arxiv: 1910.03550 · arxiv_version: 1910.03550v3 · doi: 10.48550/arxiv.1910.03550 · pith_short_12: NGYYW4EOG4P4 · pith_short_16: NGYYW4EOG4P4AJHA · pith_short_8: NGYYW4EO

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/NGYYW4EOG4P4AJHA3VTYEJZ42K \
  | 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: 69b18b708e371fc024e0dd6782273cd2aa16b4686eef89d6b6d039df4e919e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9090df218e40314f469e2835164bd4dedd490a144a41b2c7fc1c3670672b7c2f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-10-08T17:19:51Z",
    "title_canon_sha256": "fbac7973fb1ffa7b5a3106165d6e125cdb9f79e0db172dcb85719f4aaf80c73b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.03550",
    "kind": "arxiv",
    "version": 3
  }
}