Pith Number

pith:UNFMXUPH

pith:2018:UNFMXUPHCZFJWRLCXRFNYDFXKE

not attested not anchored not stored refs pending

Lepton Number and Expansion of the Universe

Cheng Tao Yang, Jeremiah Birrell, Johann Rafelski

arxiv:1812.05157 v2 · 2018-12-12 · hep-ph · 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{UNFMXUPHCZFJWRLCXRFNYDFXKE}

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	2026-05-17T23:56:12.454569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a34acbd1e7164a9b4562bc4adc0cb751365e653563563938fd17059b218fa3e8

Aliases

arxiv: 1812.05157 · arxiv_version: 1812.05157v2 · doi: 10.48550/arxiv.1812.05157 · pith_short_12: UNFMXUPHCZFJ · pith_short_16: UNFMXUPHCZFJWRLC · pith_short_8: UNFMXUPH

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/UNFMXUPHCZFJWRLCXRFNYDFXKE \
  | 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: a34acbd1e7164a9b4562bc4adc0cb751365e653563563938fd17059b218fa3e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c1427cfb01ec3bc1dca45b3ae07feeb2b187a93163351ef83130127841f83b3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-12-12T21:18:07Z",
    "title_canon_sha256": "a2a9b5ff3127990287d359e6a83a29dd337e220bf6e23662878f8f1659c82707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05157",
    "kind": "arxiv",
    "version": 2
  }
}