Pith Number

pith:5Y7Z2OGE

pith:2026:5Y7Z2OGELCKFQUKC2IIOIJMLXL

not attested not anchored not stored refs pending

Algebraic Structure of Three-Flavor Neutrino Oscillations in Constant-Density Matter: Cayley--Hamilton Evolution, DMP Resummation, and Closed-Form Uncertainty Propagation

Aaryan Chaulagain, Anju Dhakal, Daya Nidhi Chhatkuli

arxiv:2607.07213 v1 · 2026-07-08 · hep-ph · hep-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{5Y7Z2OGELCKFQUKC2IIOIJMLXL}

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	2026-07-09T01:20:17.946437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3f9d38c45894585142d210e4258bbac3fbd3a9648e5d9246fb8282030ab5fb

Aliases

arxiv: 2607.07213 · arxiv_version: 2607.07213v1 · doi: 10.48550/arxiv.2607.07213 · pith_short_12: 5Y7Z2OGELCKF · pith_short_16: 5Y7Z2OGELCKFQUKC · pith_short_8: 5Y7Z2OGE

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/5Y7Z2OGELCKFQUKC2IIOIJMLXL \
  | 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: ee3f9d38c45894585142d210e4258bbac3fbd3a9648e5d9246fb8282030ab5fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ddf7d9bbf7d7bf42fb74a94369acc214d1298441d296f9f750523f704d939f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-08T09:54:06Z",
    "title_canon_sha256": "d3b30b5c57fd373bf3e852a4d2ae4c4e35e072cc0a0f8d0951b491757c9d9492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07213",
    "kind": "arxiv",
    "version": 1
  }
}