Pith Number

pith:2CGYJXPK

pith:1999:2CGYJXPKP2XK77I72RTDJ6A3CU

not attested not anchored not stored refs pending

Backreaction effects of dissipation in neutrino decoupling

Josep Triginer (Barcelona), Roy Maartens (Portsmouth)

arxiv:astro-ph/9901211 v2 · 1999-01-15 · astro-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{2CGYJXPKP2XK77I72RTDJ6A3CU}

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	2026-05-18T01:40:13.458540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d08d84ddea7eaeaffd1fd46634f81b15372d813089b6921753fbdf3d33ed2de3

Aliases

arxiv: astro-ph/9901211 · arxiv_version: astro-ph/9901211v2 · doi: 10.48550/arxiv.astro-ph/9901211 · pith_short_12: 2CGYJXPKP2XK · pith_short_16: 2CGYJXPKP2XK77I7 · pith_short_8: 2CGYJXPK

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/2CGYJXPKP2XK77I72RTDJ6A3CU \
  | 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: d08d84ddea7eaeaffd1fd46634f81b15372d813089b6921753fbdf3d33ed2de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f3646aea09e2173bf4a58363fd496b968b8a79c18aa79d73404ec1e4548c3d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-01-15T19:50:14Z",
    "title_canon_sha256": "cea38e6d472072403bcff75cce8827a1c7e1af71952b6ccd6db995666bafba18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9901211",
    "kind": "arxiv",
    "version": 2
  }
}