Pith Number

pith:VIG5P2AB

pith:2015:VIG5P2ABE6O5ZJ6Q3COOT322GG

not attested not anchored not stored refs pending

Bifurcation of rotating patches from Kirchhoff vortices

Joan Mateu, Taoufik Hmidi

arxiv:1508.04589 v2 · 2015-08-19 · 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{VIG5P2ABE6O5ZJ6Q3COOT322GG}

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	2026-05-18T01:33:15.226624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa0dd7e801279ddca7d0d89ce9ef5a3181942c3b11b7299bbba8a7d8af4c282b

Aliases

arxiv: 1508.04589 · arxiv_version: 1508.04589v2 · doi: 10.48550/arxiv.1508.04589 · pith_short_12: VIG5P2ABE6O5 · pith_short_16: VIG5P2ABE6O5ZJ6Q · pith_short_8: VIG5P2AB

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/VIG5P2ABE6O5ZJ6Q3COOT322GG \
  | 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: aa0dd7e801279ddca7d0d89ce9ef5a3181942c3b11b7299bbba8a7d8af4c282b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e43433116c4de133b75a432abaec0a6a77dc4e9cbc4964f285a41441287d4bf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-19T10:14:01Z",
    "title_canon_sha256": "78cf26a51d0a3e9139d7c91c2388b609a169cf82a9f90056517f6ff663b0b6aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04589",
    "kind": "arxiv",
    "version": 2
  }
}