Pith Number

pith:4BLLY5V6

pith:2023:4BLLY5V6MNB5UI65KRBXLVQVP6

not attested not anchored not stored refs pending

Long-time behavior of logarithmic spiral vortex sheets with two branches

Minki Cho

arxiv:2312.02072 v1 · 2023-12-04 · 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{4BLLY5V6MNB5UI65KRBXLVQVP6}

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.

Cited by

1 paper in Pith

Receipt and verification

First computed	2026-07-05T07:20:03.436918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e056bc76be6343da23dd544375d6157f9921c6867df14db00ff4eb4af907b864

Aliases

arxiv: 2312.02072 · arxiv_version: 2312.02072v1 · doi: 10.48550/arxiv.2312.02072 · pith_short_12: 4BLLY5V6MNB5 · pith_short_16: 4BLLY5V6MNB5UI65 · pith_short_8: 4BLLY5V6

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/4BLLY5V6MNB5UI65KRBXLVQVP6 \
  | 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: e056bc76be6343da23dd544375d6157f9921c6867df14db00ff4eb4af907b864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9df73ed22f07ec77236cf1767a7a873afd68cb4c01358007e18eef1068691b80",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-12-04T17:32:07Z",
    "title_canon_sha256": "f1929cf083cd6dc914c9b26504dc760d099aaa6cf7ed805bcd032f15e1f86972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.02072",
    "kind": "arxiv",
    "version": 1
  }
}