Pith Number

pith:VMYMXQPV

pith:2025:VMYMXQPVLM3TUXXWOR4LOXTAXA

not attested not anchored not stored refs pending

Vortex dynamics for the Gross-Pitaevskii equation

Manuel del Pino, Monica Musso, Rowan Juneman

arxiv:2507.18590 v2 · 2025-07-24 · 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{VMYMXQPVLM3TUXXWOR4LOXTAXA}

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	2026-07-05T11:48:51.919883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab30cbc1f55b373a5ef67478b75e60b828f984c243fa74f9a6f8d9600fe7e827

Aliases

arxiv: 2507.18590 · arxiv_version: 2507.18590v2 · doi: 10.48550/arxiv.2507.18590 · pith_short_12: VMYMXQPVLM3T · pith_short_16: VMYMXQPVLM3TUXXW · pith_short_8: VMYMXQPV

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/VMYMXQPVLM3TUXXWOR4LOXTAXA \
  | 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: ab30cbc1f55b373a5ef67478b75e60b828f984c243fa74f9a6f8d9600fe7e827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2246e04fe04781c64d9b5b59a9e6e44497ac189698c5b1bbc78336e3ce9aec57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-24T17:14:55Z",
    "title_canon_sha256": "7c11b25ffaa1d7a52c3b713afcdb092911d916e026a3bff88339b0b500fbe7ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18590",
    "kind": "arxiv",
    "version": 2
  }
}