Pith Number

pith:NKXM34O3

pith:2026:NKXM34O33UEZ4YNZR4HEVSB7EE

not attested not anchored not stored refs pending

Scattering for the 4D Zakharov system below the ground state

Kenji Nakanishi, Timothy Candy

arxiv:2606.19634 v1 · 2026-06-17 · 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{NKXM34O33UEZ4YNZR4HEVSB7EE}

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	2026-06-19T16:12:30.893572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aaecdf1dbdd099e61b98f0e4ac83f211a92e4609bdb17ee27a92a4502767afa

Aliases

arxiv: 2606.19634 · arxiv_version: 2606.19634v1 · doi: 10.48550/arxiv.2606.19634 · pith_short_12: NKXM34O33UEZ · pith_short_16: NKXM34O33UEZ4YNZ · pith_short_8: NKXM34O3

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/NKXM34O33UEZ4YNZR4HEVSB7EE \
  | 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: 6aaecdf1dbdd099e61b98f0e4ac83f211a92e4609bdb17ee27a92a4502767afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc829c65739403b9789bb98fab2b23abc66267837ab5cbaf93c44bbde0880090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-17T22:26:14Z",
    "title_canon_sha256": "b752525e22fed754d15d47b5047bfbe105f1db1ab8e20fda08f66f681a66731d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19634",
    "kind": "arxiv",
    "version": 1
  }
}