Pith Number

pith:GRZ6NMNK

pith:2015:GRZ6NMNKXHOWQ6L4B36ODJOUUB

not attested not anchored not stored refs pending

A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms

Ahmad Y. Al-Dweik, F. M. Mahomed, H. Azad, M. T. Mustafa

arxiv:1511.02499 v1 · 2015-11-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRZ6NMNKXHOWQ6L4B36ODJOUUB}

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	2026-05-18T01:27:30.103475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3473e6b1aab9dd68797c0efce1a5d4a041e0a48b91a5f58f18d3c5b0a1764ee6

Aliases

arxiv: 1511.02499 · arxiv_version: 1511.02499v1 · doi: 10.48550/arxiv.1511.02499 · pith_short_12: GRZ6NMNKXHOW · pith_short_16: GRZ6NMNKXHOWQ6L4 · pith_short_8: GRZ6NMNK

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/GRZ6NMNKXHOWQ6L4B36ODJOUUB \
  | 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: 3473e6b1aab9dd68797c0efce1a5d4a041e0a48b91a5f58f18d3c5b0a1764ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7483cabfc3a4a878bf442405fc8ea5a4aeb61f579ba532eaa20635939d372fc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-08T16:02:15Z",
    "title_canon_sha256": "a650a0fa0fd00f6ad3deb8d0e2912a70deba4530173f17a1d40e3aaa2827b13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02499",
    "kind": "arxiv",
    "version": 1
  }
}