Pith Number

pith:BWP37M77

pith:2024:BWP37M77PYDVR2KN2ARBDEJOS5

not attested not anchored not stored refs pending

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation

Luis Vega, Valeria Banica

arxiv:2412.14013 v2 · 2024-12-18 · 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{BWP37M77PYDVR2KN2ARBDEJOS5}

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	2026-07-05T11:01:30.252769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d9fbfb3ff7e0758e94dd02211912e976c1a8958065c172b51be28ec85cba6d0

Aliases

arxiv: 2412.14013 · arxiv_version: 2412.14013v2 · doi: 10.48550/arxiv.2412.14013 · pith_short_12: BWP37M77PYDV · pith_short_16: BWP37M77PYDVR2KN · pith_short_8: BWP37M77

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/BWP37M77PYDVR2KN2ARBDEJOS5 \
  | 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: 0d9fbfb3ff7e0758e94dd02211912e976c1a8958065c172b51be28ec85cba6d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b1424052dd7932c5475dc7f498ff9f6a6f1691291a03f1922d91b1a686b2ec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-18T16:30:58Z",
    "title_canon_sha256": "846c88bb94f4d0a7eb6543883e9204d3edf058ec8a26c7597948ac6e2f093a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14013",
    "kind": "arxiv",
    "version": 2
  }
}