Pith Number

pith:ORFE7IE2

pith:2017:ORFE7IE23CPCN2GU37HSZKQYRB

not attested not anchored not stored refs pending

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

Guangcun Lu

arxiv:1702.06667 v1 · 2017-02-22 · 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{ORFE7IE23CPCN2GU37HSZKQYRB}

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	2026-05-18T00:50:13.016777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

744a4fa09ad89e26e8d4dfcf2caa1888612b848e032ae994685a4068c0606ab6

Aliases

arxiv: 1702.06667 · arxiv_version: 1702.06667v1 · doi: 10.48550/arxiv.1702.06667 · pith_short_12: ORFE7IE23CPC · pith_short_16: ORFE7IE23CPCN2GU · pith_short_8: ORFE7IE2

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/ORFE7IE23CPCN2GU37HSZKQYRB \
  | 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: 744a4fa09ad89e26e8d4dfcf2caa1888612b848e032ae994685a4068c0606ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9362a363e9b8e7b547ef307977ef8e2b8fa1376f6f88e607c2854ae360d88c3d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-22T04:06:35Z",
    "title_canon_sha256": "a8f44b9afc5f6a32a6dae17fd4fa8cc793e61fd9100369c2a8e9b3014a44e1f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06667",
    "kind": "arxiv",
    "version": 1
  }
}