Pith Number

pith:GUPYO2TU

pith:2025:GUPYO2TU2SRKUVT4RXKGU2ICYS

not attested not anchored not stored refs pending

New invariant surface measures for the cubic Schr\"odinger equation

Ana Bela Cruzeiro, Annie Millet, Jean-Baptiste Casteras

arxiv:2502.02162 v2 · 2025-02-04 · 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{GUPYO2TU2SRKUVT4RXKGU2ICYS}

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	2026-07-05T11:44:00.776029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351f876a74d4a2aa567c8dd46a6902c4b9a69c385c30e320de58528468fd634e

Aliases

arxiv: 2502.02162 · arxiv_version: 2502.02162v2 · doi: 10.48550/arxiv.2502.02162 · pith_short_12: GUPYO2TU2SRK · pith_short_16: GUPYO2TU2SRKUVT4 · pith_short_8: GUPYO2TU

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/GUPYO2TU2SRKUVT4RXKGU2ICYS \
  | 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: 351f876a74d4a2aa567c8dd46a6902c4b9a69c385c30e320de58528468fd634e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79adcaaa4427d406e4177c553b77fdd74a24e259b68755aa355f64501e3f528c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-04T09:37:30Z",
    "title_canon_sha256": "0e6a3ec4068c301b1e1958b4d6834fecf5e1ff792181401b2a54dc3625541b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02162",
    "kind": "arxiv",
    "version": 2
  }
}