Pith Number

pith:7Q5YFZ2D

pith:2026:7Q5YFZ2DOY2RLPOEMBSDQAIYOD

not attested not anchored not stored refs pending

A Gauge Model for Quasi-Dirac Neutrinos

Chun Liu, Zhao-Xing Fan

arxiv:2607.17825 v1 · 2026-07-20 · 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{7Q5YFZ2DOY2RLPOEMBSDQAIYOD}

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	2026-07-21T02:22:02.154861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3b82e743763515bdc4606438011870cebec1d95eb916713cab44c92061629b

Aliases

arxiv: 2607.17825 · arxiv_version: 2607.17825v1 · doi: 10.48550/arxiv.2607.17825 · pith_short_12: 7Q5YFZ2DOY2R · pith_short_16: 7Q5YFZ2DOY2RLPOE · pith_short_8: 7Q5YFZ2D

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/7Q5YFZ2DOY2RLPOEMBSDQAIYOD \
  | 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: fc3b82e743763515bdc4606438011870cebec1d95eb916713cab44c92061629b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c2284f170bc014e1b5b37d3ea9cc64b44cded400011837e9a99809c6d6f0c67",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-20T11:12:37Z",
    "title_canon_sha256": "022ed56d29ce7d8db39bb039a0139dafb91cf5f91956c684dd559428dc8b8311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17825",
    "kind": "arxiv",
    "version": 1
  }
}