Pith Number

pith:UE6X4D5R

pith:2019:UE6X4D5R5EKM6E3LHTPL7XTNKB

not attested not anchored not stored refs pending

Fibonacci Fast Convergence for Neutrino Oscillations in Matter

Peter B. Denton, Stephen J. Parke, Xining Zhang

arxiv:1909.02009 v2 · 2019-09-04 · 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{UE6X4D5R5EKM6E3LHTPL7XTNKB}

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	2026-07-05T01:17:15.930675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13d7e0fb1e914cf136b3cdebfde6d504025f1e79ee5a30cfc4e093310ce073d

Aliases

arxiv: 1909.02009 · arxiv_version: 1909.02009v2 · doi: 10.48550/arxiv.1909.02009 · pith_short_12: UE6X4D5R5EKM · pith_short_16: UE6X4D5R5EKM6E3L · pith_short_8: UE6X4D5R

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/UE6X4D5R5EKM6E3LHTPL7XTNKB \
  | 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: a13d7e0fb1e914cf136b3cdebfde6d504025f1e79ee5a30cfc4e093310ce073d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59f6ce0c9682f5a708424fc1c5ea0c750ae074d1574cb22360266efe8c065f4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-09-04T18:00:01Z",
    "title_canon_sha256": "6d381722d9e55895adbf53ddde0316aa0c9d56d8ada40f5017e6dcdc986e5af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02009",
    "kind": "arxiv",
    "version": 2
  }
}