Pith Number

pith:TCPIF4UW

pith:2026:TCPIF4UWKNH725QLNT6D4A2PKV

not attested not anchored not stored refs pending

Explicit Fourier Integrator for the Periodic dNLS via Gauge Transformation: Low-Regularity Estimates in Discrete Bourgain Spaces

Alexander Ostermann, Gangfan Zhong, Hang Li, Lun Ji

arxiv:2606.19648 v1 · 2026-06-17 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCPIF4UWKNH725QLNT6D4A2PKV}

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	2026-06-19T16:12:31.243446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989e82f296534ffd760b6cfc3e034f556b13ee0715ee6cbe876a50eadce954e1

Aliases

arxiv: 2606.19648 · arxiv_version: 2606.19648v1 · doi: 10.48550/arxiv.2606.19648 · pith_short_12: TCPIF4UWKNH7 · pith_short_16: TCPIF4UWKNH725QL · pith_short_8: TCPIF4UW

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/TCPIF4UWKNH725QLNT6D4A2PKV \
  | 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: 989e82f296534ffd760b6cfc3e034f556b13ee0715ee6cbe876a50eadce954e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5909103ed27279cd262b15438ec02c67aa77cee2ddb55de202ffe451c85acfc",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-17T23:02:56Z",
    "title_canon_sha256": "489becfa7e3db469059606df134447dbc74538f5f9b14c6816ec2dda0e6cd174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19648",
    "kind": "arxiv",
    "version": 1
  }
}