Pith Number

pith:LNEUG6XV

pith:2016:LNEUG6XVKCSW2V6PVPIG7IXYQH

not attested not anchored not stored refs pending

The Runge-Kutta-Wentzel-Kramers-Brillouin Method

A.N. Lasenby, M.P. Hobson, W.J. Handley

arxiv:1612.02288 v2 · 2016-12-03 · physics.comp-ph · astro-ph.IM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNEUG6XVKCSW2V6PVPIG7IXYQH}

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	2026-05-18T00:55:28.201278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b49437af550a56d57cfabd06fa2f881cfe217840225cd0379906c1a63547e60

Aliases

arxiv: 1612.02288 · arxiv_version: 1612.02288v2 · doi: 10.48550/arxiv.1612.02288 · pith_short_12: LNEUG6XVKCSW · pith_short_16: LNEUG6XVKCSW2V6P · pith_short_8: LNEUG6XV

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/LNEUG6XVKCSW2V6PVPIG7IXYQH \
  | 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: 5b49437af550a56d57cfabd06fa2f881cfe217840225cd0379906c1a63547e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5ccc24341b4b5a76e9464f74f1f9e5c8ab5768ffb4613a17d0f0c5eca3bd8a",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2016-12-03T12:26:06Z",
    "title_canon_sha256": "ff9b54131f50ef57e0fd696fb949a9220b64722b0d1fee076cdb2ab000678441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02288",
    "kind": "arxiv",
    "version": 2
  }
}