Pith Number

pith:5PQ7FTT3

pith:2017:5PQ7FTT32AHX5FRBWQ4K36YKFH

not attested not anchored not stored refs pending

Steady double vortex patches with opposite signs in a planar ideal fluid

Daomin Cao, Guodong Wang

arxiv:1709.07115 v3 · 2017-09-21 · 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{5PQ7FTT32AHX5FRBWQ4K36YKFH}

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	2026-05-18T00:26:43.573534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe1f2ce7bd00f7e9621b438adfb0a29e66bc8a5ed361970c156eb92ba8c4bcb

Aliases

arxiv: 1709.07115 · arxiv_version: 1709.07115v3 · doi: 10.48550/arxiv.1709.07115 · pith_short_12: 5PQ7FTT32AHX · pith_short_16: 5PQ7FTT32AHX5FRB · pith_short_8: 5PQ7FTT3

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/5PQ7FTT32AHX5FRBWQ4K36YKFH \
  | 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: ebe1f2ce7bd00f7e9621b438adfb0a29e66bc8a5ed361970c156eb92ba8c4bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "558ac8ca7c514ca0349b26ae56bffe4befc1fb02fb13704a7b373bb5eac8ac9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-21T00:58:34Z",
    "title_canon_sha256": "88a937a5a2b120e2a671d0ffbe7c7512b5ebfbd11887f4585048288ea5018794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07115",
    "kind": "arxiv",
    "version": 3
  }
}