Pith Number

pith:V3TU6MFZ

pith:2026:V3TU6MFZVL4AMHVZNQ4QAJJ37O

not attested not anchored not stored refs pending

Stability of Vortex Patches in Channels

Chenyun Luo, Zelin Dong

arxiv:2606.19942 v1 · 2026-06-18 · 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{V3TU6MFZVL4AMHVZNQ4QAJJ37O}

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	2026-06-19T16:12:58.789906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee74f30b9aaf8061eb96c3900253bfba881424b7615fa56a90b18d8a1df4bf6

Aliases

arxiv: 2606.19942 · arxiv_version: 2606.19942v1 · doi: 10.48550/arxiv.2606.19942 · pith_short_12: V3TU6MFZVL4A · pith_short_16: V3TU6MFZVL4AMHVZ · pith_short_8: V3TU6MFZ

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/V3TU6MFZVL4AMHVZNQ4QAJJ37O \
  | 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: aee74f30b9aaf8061eb96c3900253bfba881424b7615fa56a90b18d8a1df4bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94039950dc737238e53d149f1b616a8d9d08d789cf30451ce5fe9c9908b14883",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-18T08:39:53Z",
    "title_canon_sha256": "1b9ba934cebdc0d208b3d723ff76d882376b03d6bbbe1da2da2a357d79a457d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19942",
    "kind": "arxiv",
    "version": 1
  }
}