Pith Number

pith:LZI2NP6H

pith:2017:LZI2NP6HQNCRW3QZQ3VFNL7HIM

not attested not anchored not stored refs pending

Morse theory methods for a class of quasi-linear elliptic systems of higher order

Guangcun Lu

arxiv:1709.02337 v4 · 2017-09-07 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZI2NP6HQNCRW3QZQ3VFNL7HIM}

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	2026-05-17T23:44:10.395861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e51a6bfc783451b6e1986ea56afe743293891f3d5df82a19b5c1f2e6c2ecca2

Aliases

arxiv: 1709.02337 · arxiv_version: 1709.02337v4 · doi: 10.48550/arxiv.1709.02337 · pith_short_12: LZI2NP6HQNCR · pith_short_16: LZI2NP6HQNCRW3QZ · pith_short_8: LZI2NP6H

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/LZI2NP6HQNCRW3QZQ3VFNL7HIM \
  | 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: 5e51a6bfc783451b6e1986ea56afe743293891f3d5df82a19b5c1f2e6c2ecca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af4801d3275fa0a462bde04596fa489e02bb105fa1b403e414f77412522819c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-07T16:22:27Z",
    "title_canon_sha256": "2d1a9ee491693836dfe2b16e5123315d91f8eba53c9a65c6cf817b1e49905733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02337",
    "kind": "arxiv",
    "version": 4
  }
}