Pith Number

pith:VWYZXQVR

pith:2025:VWYZXQVRP6SRKAWQGUYCVOUJWM

not attested not anchored not stored refs pending

Multisoliton solutions and blow up for the $L^2$-critical Hartree equation

Jaime G\'omez, Tobias Schmid, Yutong Wu

arxiv:2501.18398 v2 · 2025-01-30 · 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{VWYZXQVRP6SRKAWQGUYCVOUJWM}

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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.

Cited by

1 paper in Pith

On soliton clusters and collision blow up for the $L^2$-critical Hartree equation

Receipt and verification

First computed	2026-06-26T01:15:43.381460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb19bc2b17fa51502d035302aba89b332be85aba7ef51a26ab6550d5f666be7

Aliases

arxiv: 2501.18398 · arxiv_version: 2501.18398v2 · doi: 10.48550/arxiv.2501.18398 · pith_short_12: VWYZXQVRP6SR · pith_short_16: VWYZXQVRP6SRKAWQ · pith_short_8: VWYZXQVR

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/VWYZXQVRP6SRKAWQGUYCVOUJWM \
  | 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: adb19bc2b17fa51502d035302aba89b332be85aba7ef51a26ab6550d5f666be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "693bfe8a8e01045136ae91e73456a2a2c772e8e079441e4af2345be28c72c402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-30T14:54:56Z",
    "title_canon_sha256": "52cd3e89bd48185cc0ac57992fceb5c61fca51288e9a82678eb3ceb63ef65d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18398",
    "kind": "arxiv",
    "version": 2
  }
}