Pith Number

pith:VJKEYJ7X

pith:2017:VJKEYJ7XH3IQRTPUGGELZFHTBT

not attested not anchored not stored refs pending

Invariant characterization of third-order ODEs $u'''=f(x,u,u',u'')$ that admit a five-dimensional point symmetry Lie algebra

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

arxiv:1711.08138 v1 · 2017-11-22 · math.CA · 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{VJKEYJ7XH3IQRTPUGGELZFHTBT}

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	2026-05-18T00:29:50.587512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa544c27f73ed108cdf43188bc94f30cf921e7d4ffae4d0b02aabd19713c47e0

Aliases

arxiv: 1711.08138 · arxiv_version: 1711.08138v1 · doi: 10.48550/arxiv.1711.08138 · pith_short_12: VJKEYJ7XH3IQ · pith_short_16: VJKEYJ7XH3IQRTPU · pith_short_8: VJKEYJ7X

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/VJKEYJ7XH3IQRTPUGGELZFHTBT \
  | 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: aa544c27f73ed108cdf43188bc94f30cf921e7d4ffae4d0b02aabd19713c47e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20659a39451a2dfd7f93674ef6e1e97f0c2a7a764d186c1f42afd6bf0a755986",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-22T05:42:20Z",
    "title_canon_sha256": "cc065462e62ef321ff6a9714bda560221836b9f101b227ba3aa7a6bb6408f179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08138",
    "kind": "arxiv",
    "version": 1
  }
}