Pith Number

pith:ZF35DP4C

pith:2012:ZF35DP4CLD63AGIZBONSAXYQ5R

not attested not anchored not stored refs pending

Relic neutrinos: Physically consistent treatment of effective number of neutrinos and neutrino mass

Cheng-Tao Yang, Jeremiah Birrell, Johann Rafelski, Pisin Chen

arxiv:1212.6943 v2 · 2012-12-31 · astro-ph.CO · hep-ph · nucl-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF35DP4CLD63AGIZBONSAXYQ5R}

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	2026-05-18T02:54:39.718055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c977d1bf8258fdb019190b9b205f10ec417230f1494b112bb08ab26344a9db2e

Aliases

arxiv: 1212.6943 · arxiv_version: 1212.6943v2 · doi: 10.48550/arxiv.1212.6943 · pith_short_12: ZF35DP4CLD63 · pith_short_16: ZF35DP4CLD63AGIZ · pith_short_8: ZF35DP4C

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/ZF35DP4CLD63AGIZBONSAXYQ5R \
  | 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: c977d1bf8258fdb019190b9b205f10ec417230f1494b112bb08ab26344a9db2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383219115e75f44d5917b0a1790c91f047c15f569a6ca3b63cf9922033357ce3",
    "cross_cats_sorted": [
      "hep-ph",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-31T18:45:20Z",
    "title_canon_sha256": "3280cdfd57b73b6368ba1a5683f539acd8f9d3fc354d0a2b0628e498b0ee7705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6943",
    "kind": "arxiv",
    "version": 2
  }
}