Pith Number

pith:IQSLYLXJ

pith:2019:IQSLYLXJJQB2KYABDMNHEHUQW4

not attested not anchored not stored refs pending

Morse index and stability of the planar N-vortex problem

Alessandro Portaluri, Qin Xing, Xijun Hu

arxiv:1905.05297 v1 · 2019-05-13 · math.DS · 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{IQSLYLXJJQB2KYABDMNHEHUQW4}

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	2026-05-17T23:46:16.927281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4424bc2ee94c03a560011b1a721e90b71c9aea617adb8d8e9ddefd7019edaf99

Aliases

arxiv: 1905.05297 · arxiv_version: 1905.05297v1 · doi: 10.48550/arxiv.1905.05297 · pith_short_12: IQSLYLXJJQB2 · pith_short_16: IQSLYLXJJQB2KYAB · pith_short_8: IQSLYLXJ

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/IQSLYLXJJQB2KYABDMNHEHUQW4 \
  | 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: 4424bc2ee94c03a560011b1a721e90b71c9aea617adb8d8e9ddefd7019edaf99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1091735f261e584375c1491553ee417891bc099c92c60bc0abc7d9b96c543d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-05-13T21:40:54Z",
    "title_canon_sha256": "9f23993a1fbdf0604139058a155bf86ca4019fdfd313e5b4cb83d763f63acab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05297",
    "kind": "arxiv",
    "version": 1
  }
}