Pith Number

pith:JW2KL4DU

pith:2007:JW2KL4DUZMBCJS7BLCTXGY74HI

not attested not anchored not stored refs pending

Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - I: Ordinary Differential Equations

Asghar Qadir, F. M. Mahomed, S. Ali

arxiv:0711.4914 v2 · 2007-11-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JW2KL4DUZMBCJS7BLCTXGY74HI}

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	2026-05-18T04:17:04.789858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db4a5f074cb0224cbe158a77363fc3a3f5ec3c83c430f5bfe24303501daf5a0

Aliases

arxiv: 0711.4914 · arxiv_version: 0711.4914v2 · doi: 10.48550/arxiv.0711.4914 · pith_short_12: JW2KL4DUZMBC · pith_short_16: JW2KL4DUZMBCJS7B · pith_short_8: JW2KL4DU

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/JW2KL4DUZMBCJS7BLCTXGY74HI \
  | 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: 4db4a5f074cb0224cbe158a77363fc3a3f5ec3c83c430f5bfe24303501daf5a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9a07b6ff5c1db8acb953a839cbdfb1cbd137138ca5a8dcef94393d9c4258dba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2007-11-30T12:07:02Z",
    "title_canon_sha256": "c7509352dfbceaf32bf30fc60920fb1818cb84963da80b65974baf6019719e91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4914",
    "kind": "arxiv",
    "version": 2
  }
}