Pith Number

pith:LL7JGM5F

pith:2010:LL7JGM5FYWV45OD5CIY5WXQ362

not attested not anchored not stored refs pending

A link between Random Matrix Theory and neutrino propagation in a turbulent medium

James P. Kneller

arxiv:1004.1288 v2 · 2010-04-08 · hep-ph · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LL7JGM5FYWV45OD5CIY5WXQ362}

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	2026-05-18T04:39:27.737254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5afe9333a5c5abceb87d1231db5e1bf6aebf6e900edcd27bb7fb04d4e3e22768

Aliases

arxiv: 1004.1288 · arxiv_version: 1004.1288v2 · doi: 10.48550/arxiv.1004.1288 · pith_short_12: LL7JGM5FYWV4 · pith_short_16: LL7JGM5FYWV45OD5 · pith_short_8: LL7JGM5F

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/LL7JGM5FYWV45OD5CIY5WXQ362 \
  | 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: 5afe9333a5c5abceb87d1231db5e1bf6aebf6e900edcd27bb7fb04d4e3e22768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d0602bcd3ae3f2a10d9eaf52038dc5c199b17e1701bc3822b05aed023d517b",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-04-08T09:06:35Z",
    "title_canon_sha256": "8903c54b12923fe8074f7111300173c270ac54257fa0d45d720bfbe1cd04a2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1288",
    "kind": "arxiv",
    "version": 2
  }
}