Pith Number

pith:ESPTXBEI

pith:2026:ESPTXBEI3EEZ3AXPBST6R7M425

not attested not anchored not stored refs pending

Self-interacting neutrinos in cosmological perturbation theory -- integrating the collision kernel

Jakob K. Mogensen, Steen Hannestad, Thomas Tram

arxiv:2606.03395 v1 · 2026-06-02 · 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{ESPTXBEI3EEZ3AXPBST6R7M425}

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	2026-06-03T01:05:56.754918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

249f3b8488d9099d82ef0ca7e8fd9cd77a073e810136c77041414cecce572c2e

Aliases

arxiv: 2606.03395 · arxiv_version: 2606.03395v1 · doi: 10.48550/arxiv.2606.03395 · pith_short_12: ESPTXBEI3EEZ · pith_short_16: ESPTXBEI3EEZ3AXP · pith_short_8: ESPTXBEI

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/ESPTXBEI3EEZ3AXPBST6R7M425 \
  | 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: 249f3b8488d9099d82ef0ca7e8fd9cd77a073e810136c77041414cecce572c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11e25561aa38857eda660140cdb5b3a72167535d1efc7a6639f3c26e7717b613",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-02T09:36:52Z",
    "title_canon_sha256": "caf0e55d0a07b3407b808eccf7373a2444e5a11ff1340852b416aca75046b42a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03395",
    "kind": "arxiv",
    "version": 1
  }
}