Pith Number

pith:56GTDUKJ

pith:1999:56GTDUKJJEB2PQGMQL5ZS62SQA

not attested not anchored not stored refs pending

Neutrino oscillations in the early universe: How large lepton asymmetry can be generated?

A.D. Dolgov, D.V. Semikoz, S.H. Hansen, S. Pastor

arxiv:hep-ph/9910444 v1 · 1999-10-22 · 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{56GTDUKJJEB2PQGMQL5ZS62SQA}

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	2026-05-18T04:21:30.355375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8d31d1494903a7c0cc82fb997b52803ed4bb8ee63efb82ad24d930935a3140

Aliases

arxiv: hep-ph/9910444 · arxiv_version: hep-ph/9910444v1 · doi: 10.48550/arxiv.hep-ph/9910444 · pith_short_12: 56GTDUKJJEB2 · pith_short_16: 56GTDUKJJEB2PQGM · pith_short_8: 56GTDUKJ

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/56GTDUKJJEB2PQGMQL5ZS62SQA \
  | 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: ef8d31d1494903a7c0cc82fb997b52803ed4bb8ee63efb82ad24d930935a3140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b9b99bef2986c584376817899915b95da2cb4e94dd4bfc98c2668d15b695962",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-22T11:39:00Z",
    "title_canon_sha256": "3732aec5a2b91dbd41df5584dc7d89e75999bad97b70ae969fe12968bc10e033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910444",
    "kind": "arxiv",
    "version": 1
  }
}