Pith Number

pith:FGEWPZJG

pith:2015:FGEWPZJG3NBLH3WO2QWNDGXVJL

not attested not anchored not stored refs pending

Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations

Miguel A. Rodr\'iguez, Pavel Winternitz, Rutwig Campoamor-Stursberg

arxiv:1507.06428 v1 · 2015-07-23 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGEWPZJG3NBLH3WO2QWNDGXVJL}

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	2026-05-18T01:22:37.638341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298967e526db42b3eeced42cd19af54ae0509c991998edc7d514802036e4328f

Aliases

arxiv: 1507.06428 · arxiv_version: 1507.06428v1 · doi: 10.48550/arxiv.1507.06428 · pith_short_12: FGEWPZJG3NBL · pith_short_16: FGEWPZJG3NBLH3WO · pith_short_8: FGEWPZJG

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/FGEWPZJG3NBLH3WO2QWNDGXVJL \
  | 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: 298967e526db42b3eeced42cd19af54ae0509c991998edc7d514802036e4328f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58f7441895cb2cbb1140f597c0f3c126d534781e1fe38bf8ca68a6952ae10a09",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-23T09:56:15Z",
    "title_canon_sha256": "125f03fdd92c5b087f2f89642690f73038dd7c31d45e5dff2f52cbcf739abc82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06428",
    "kind": "arxiv",
    "version": 1
  }
}