Pith Number

pith:52RNVKU4

pith:2008:52RNVKU4BE6JMM5TFGTYT3CKO5

not attested not anchored not stored refs pending

Stepwise Spectral Swapping with Three Neutrino Flavors

George M. Fuller, Huaiyu Duan, Yong-Zhong Qian

arxiv:0801.1363 v2 · 2008-01-09 · astro-ph · 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{52RNVKU4BE6JMM5TFGTYT3CKO5}

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	2026-07-04T15:30:52.856251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eea2daaa9c093c9633b329a789ec4a7748cfec8641183effd7bcf237235e4e3d

Aliases

arxiv: 0801.1363 · arxiv_version: 0801.1363v2 · doi: 10.48550/arxiv.0801.1363 · pith_short_12: 52RNVKU4BE6J · pith_short_16: 52RNVKU4BE6JMM5T · pith_short_8: 52RNVKU4

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/52RNVKU4BE6JMM5TFGTYT3CKO5 \
  | 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: eea2daaa9c093c9633b329a789ec4a7748cfec8641183effd7bcf237235e4e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1e35ef558038a99b9b31feba3e74becb8f74681832bad18a94c5e2b49821d6",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-01-09T19:02:58Z",
    "title_canon_sha256": "937a7aee08a44f5207c8c1289bf39c4ca181bbfebb2a6daf572f195409001490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1363",
    "kind": "arxiv",
    "version": 2
  }
}