Pith Number

pith:G3GYPFVI

pith:2007:G3GYPFVIKIPFQ25ME7GFKEKTPH

not attested not anchored not stored refs pending

Lagrangian Mechanics and Variational Integrators on Two-Spheres

Melvin Leok, N. Harris McClamroch, Taeyoung Lee

arxiv:0707.0022 v1 · 2007-06-30 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3GYPFVIKIPFQ25ME7GFKEKTPH}

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	2026-06-03T22:06:01.408093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36cd8796a8521e586bac27cc55115379cdfd771dc9f9d3ba872b2c4f334cbbf2

Aliases

arxiv: 0707.0022 · arxiv_version: 0707.0022v1 · doi: 10.48550/arxiv.0707.0022 · pith_short_12: G3GYPFVIKIPF · pith_short_16: G3GYPFVIKIPFQ25M · pith_short_8: G3GYPFVI

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/G3GYPFVIKIPFQ25ME7GFKEKTPH \
  | 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: 36cd8796a8521e586bac27cc55115379cdfd771dc9f9d3ba872b2c4f334cbbf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fced0afc989248c23ac5fb19fe367a69e98727d1b8dac9c4d2abedbca19a00e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-06-30T01:16:34Z",
    "title_canon_sha256": "4fb0c37fd9effec4da5903321832f08be99e39e4aeee1ac4cfd77e5bfd308a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0022",
    "kind": "arxiv",
    "version": 1
  }
}