Pith Number

pith:TJOYPZEK

pith:2019:TJOYPZEKAXAJ3NYJ7UZRVWG6ZS

not attested not anchored not stored refs pending

On the blow up phenomenon for the mass critical focusing Hartree equation with inverse-square potential

Chao Lu, Jing Lu, Yu Chen

arxiv:1901.08732 v1 · 2019-01-25 · 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{TJOYPZEKAXAJ3NYJ7UZRVWG6ZS}

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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

Nonlinear Schr\"{o}dinger equations with critical Hardy potential and Choquard nonlinearity

Receipt and verification

First computed	2026-05-17T23:55:33.261368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a5d87e48a05c09db709fd331ad8decca6bf95e84a756e45f0949ef59d5bce8a

Aliases

arxiv: 1901.08732 · arxiv_version: 1901.08732v1 · doi: 10.48550/arxiv.1901.08732 · pith_short_12: TJOYPZEKAXAJ · pith_short_16: TJOYPZEKAXAJ3NYJ · pith_short_8: TJOYPZEK

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/TJOYPZEKAXAJ3NYJ7UZRVWG6ZS \
  | 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: 9a5d87e48a05c09db709fd331ad8decca6bf95e84a756e45f0949ef59d5bce8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5849c3d5fe234f55756dce43f9883e50199efa59bb79482feaa224602c337483",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-25T04:22:36Z",
    "title_canon_sha256": "3e5dd20203025a38b7393bc91a5e76679bc28657d67abd582a89ab14cf16b701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08732",
    "kind": "arxiv",
    "version": 1
  }
}