Pith Number

pith:IBOVME3T

pith:2007:IBOVME3TWHI63NASVQCOK2ZIEZ

not attested not anchored not stored refs pending

Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - II: Partial Differential Equations

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

arxiv:0711.4921 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{IBOVME3TWHI63NASVQCOK2ZIEZ}

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	2026-05-18T04:17:04.781572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405d561373b1d1edb412ac04e56b28264b656520a09d2b208629cfea20019d32

Aliases

arxiv: 0711.4921 · arxiv_version: 0711.4921v2 · doi: 10.48550/arxiv.0711.4921 · pith_short_12: IBOVME3TWHI6 · pith_short_16: IBOVME3TWHI63NAS · pith_short_8: IBOVME3T

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/IBOVME3TWHI63NASVQCOK2ZIEZ \
  | 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: 405d561373b1d1edb412ac04e56b28264b656520a09d2b208629cfea20019d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08334b49db0f6b12b2fcb1480dff705f1a67f1fc9049980efac3ce861063ef15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2007-11-30T12:21:02Z",
    "title_canon_sha256": "e1763f6b1e84fcba315beba5cc66845518a789fe137d4a751a3ed1926bf89130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4921",
    "kind": "arxiv",
    "version": 2
  }
}