Pith Number

pith:NJW4OUE4

pith:2026:NJW4OUE4IAU6SUBW2USST5OQAE

not attested not anchored not stored refs pending

Remarks on the well-posedness of the energy-critical inhomogeneous Hartree equation

Ihyeok Seo, Seongyeon Kim, Tarek Saanouni

arxiv:2605.25341 v1 · 2026-05-25 · 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{NJW4OUE4IAU6SUBW2USST5OQAE}

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	2026-05-26T02:04:29.625646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a6dc7509c4029e95036d52529f5d0010bf7dbe87825fb2248bea8ab726a122d

Aliases

arxiv: 2605.25341 · arxiv_version: 2605.25341v1 · doi: 10.48550/arxiv.2605.25341 · pith_short_12: NJW4OUE4IAU6 · pith_short_16: NJW4OUE4IAU6SUBW · pith_short_8: NJW4OUE4

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/NJW4OUE4IAU6SUBW2USST5OQAE \
  | 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: 6a6dc7509c4029e95036d52529f5d0010bf7dbe87825fb2248bea8ab726a122d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5f6c4f661eb1b920bdeac9a60d2d0a3a2feb9c0019de92c265e76c9df5cbda9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-25T01:54:47Z",
    "title_canon_sha256": "bc88a5f8cc8dbd86b35e82a2e8a6ae9ecb356bc08ebe51034d9bedd308f5a7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25341",
    "kind": "arxiv",
    "version": 1
  }
}