Pith Number

pith:L4FAJZCM

pith:2012:L4FAJZCMF7OQAM77XHADM3CNUI

not attested not anchored not stored refs pending

Quasilinear equations with source terms on Carnot groups

Igor E. Verbitsky, Nguyen Cong Phuc

arxiv:1201.3586 v1 · 2012-01-17 · math.AP · 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{L4FAJZCMF7OQAM77XHADM3CNUI}

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	2026-05-18T04:04:28.856554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0a04e44c2fdd0033ffb9c0366c4da2006be038042a01a6cde586c62c31214d

Aliases

arxiv: 1201.3586 · arxiv_version: 1201.3586v1 · doi: 10.48550/arxiv.1201.3586 · pith_short_12: L4FAJZCMF7OQ · pith_short_16: L4FAJZCMF7OQAM77 · pith_short_8: L4FAJZCM

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/L4FAJZCMF7OQAM77XHADM3CNUI \
  | 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: 5f0a04e44c2fdd0033ffb9c0366c4da2006be038042a01a6cde586c62c31214d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "132d6ad78139f3288ed5575b39d3b0e35b4c9c4ef19994f0bb0a5f454a6d4586",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-17T18:32:30Z",
    "title_canon_sha256": "429ff0b6899d8e4f7ec01a1b733d1d4662b7db8fb1646c2e49d64873a949efda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3586",
    "kind": "arxiv",
    "version": 1
  }
}