Pith Number

pith:W5R4Z5ZD

pith:2018:W5R4Z5ZDIJXQJ32RZDVHFVTNP3

not attested not anchored not stored refs pending

Relative Periodic Solutions Of The N-Vortex Problem Via The Variational Method

Qun Wang

arxiv:1804.08320 v1 · 2018-04-23 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5R4Z5ZDIJXQJ32RZDVHFVTNP3}

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	2026-05-18T00:04:58.777604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b763ccf723426f04ef51c8ea72d66d7ef52292a0a95e169b4e1e71079d3a8ba8

Aliases

arxiv: 1804.08320 · arxiv_version: 1804.08320v1 · doi: 10.48550/arxiv.1804.08320 · pith_short_12: W5R4Z5ZDIJXQ · pith_short_16: W5R4Z5ZDIJXQJ32R · pith_short_8: W5R4Z5ZD

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/W5R4Z5ZDIJXQJ32RZDVHFVTNP3 \
  | 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: b763ccf723426f04ef51c8ea72d66d7ef52292a0a95e169b4e1e71079d3a8ba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0b50b51f96b8a6178fbbf911e0b436b07310aaff03c5ce4e0387f9b1e1e684",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-23T10:15:46Z",
    "title_canon_sha256": "5d57583e9aca6f3214ece820958be852387899cde11877135e9431e2e74b2cb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08320",
    "kind": "arxiv",
    "version": 1
  }
}