Pith Number

pith:I747LDET

pith:2026:I747LDETABHWZRVDWMR4AVSKBE

not attested not anchored not stored refs pending

Time-periodic vortices near translating symmetric dipole patches

Luca Franzoi, Riccardo Montalto, Taoufik Hmidi

arxiv:2607.07613 v1 · 2026-07-08 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I747LDETABHWZRVDWMR4AVSKBE}

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	2026-07-09T01:20:36.780545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f9f58c93004f6cc6a3b323c0564a09199e3026a5454febd46f397d7c94a5d7

Aliases

arxiv: 2607.07613 · arxiv_version: 2607.07613v1 · doi: 10.48550/arxiv.2607.07613 · pith_short_12: I747LDETABHW · pith_short_16: I747LDETABHWZRVD · pith_short_8: I747LDET

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/I747LDETABHWZRVDWMR4AVSKBE \
  | 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: 47f9f58c93004f6cc6a3b323c0564a09199e3026a5454febd46f397d7c94a5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ba16b08d30c5d5cd9e7841778d89f5424c3d050a6152e94d43aef1ed928b52",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-08T16:29:18Z",
    "title_canon_sha256": "af4a36b5db6abf1f9d868672b2672db37962548b6b918d90fdf885516ef98920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07613",
    "kind": "arxiv",
    "version": 1
  }
}