Pith Number

pith:7PHX7DOB

pith:2024:7PHX7DOBRGB7NVCJSRY624LROP

not attested not anchored not stored refs pending

Quantum maximum entropy closure for small flavor coherence

Gail C. McLaughlin, James P. Kneller, Julien Froustey

arxiv:2409.05807 v2 · 2024-09-09 · 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{7PHX7DOBRGB7NVCJSRY624LROP}

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.

Cited by

1 paper in Pith

Collective neutrino-antineutrino pair oscillations

Receipt and verification

First computed	2026-07-05T10:27:14.244434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcf7f8dc18983f6d4499471ed717173f75d8cc95ecc34b1936f55cfd7af1433

Aliases

arxiv: 2409.05807 · arxiv_version: 2409.05807v2 · doi: 10.48550/arxiv.2409.05807 · pith_short_12: 7PHX7DOBRGB7 · pith_short_16: 7PHX7DOBRGB7NVCJ · pith_short_8: 7PHX7DOB

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/7PHX7DOBRGB7NVCJSRY624LROP \
  | 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: fbcf7f8dc18983f6d4499471ed717173f75d8cc95ecc34b1936f55cfd7af1433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0c29bbdbd2f00993b8bcbc1dd3d7825d6a61f476060cb0117540e6e03c04ba",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-09-09T17:12:15Z",
    "title_canon_sha256": "e28267d08edbaa5af82fa8ac28a30529e8e36be5c7cfec97f2af84ce759904d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.05807",
    "kind": "arxiv",
    "version": 2
  }
}