Pith Number

pith:MGO5XTO2

pith:2023:MGO5XTO2W4WRNI6KHZKXWZDUSN

not attested not anchored not stored refs pending

Fast Exact Algorithm for Neutrino Oscillation in Constant Matter Density

James Page

arxiv:2309.06900 v5 · 2023-09-13 · hep-ph · physics.comp-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{MGO5XTO2W4WRNI6KHZKXWZDUSN}

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	2026-07-05T08:12:27.504688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619ddbcddab72d16a3ca3e557b64749367e0a3d1425e1aa6fc72ef1f40a17381

Aliases

arxiv: 2309.06900 · arxiv_version: 2309.06900v5 · doi: 10.48550/arxiv.2309.06900 · pith_short_12: MGO5XTO2W4WR · pith_short_16: MGO5XTO2W4WRNI6K · pith_short_8: MGO5XTO2

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/MGO5XTO2W4WRNI6KHZKXWZDUSN \
  | 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: 619ddbcddab72d16a3ca3e557b64749367e0a3d1425e1aa6fc72ef1f40a17381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774911d36b8ec2f63419d7c5738d6412d7008124925bdc19a987c5f451f79c78",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-09-13T11:58:22Z",
    "title_canon_sha256": "b9dedc44515fd39fc6c7a74940a3829119c19b2b542bc37b372bcc56ca6ba543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.06900",
    "kind": "arxiv",
    "version": 5
  }
}