Pith Number

pith:GISMU7SW

pith:2025:GISMU7SWA37O674BTA3NAYUSOJ

not attested not anchored not stored refs pending

Global dynamics above the ground state for the energy-critical Hartree equation with radial data

Chenxi Liu, Guixiang Xu, Xuemei Li

arxiv:2506.05406 v1 · 2025-06-04 · 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{GISMU7SWA37O674BTA3NAYUSOJ}

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	2026-07-05T11:17:02.095325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3224ca7e5606feef7f819836d06292726e8040c32313f6204d948aa3691a541f

Aliases

arxiv: 2506.05406 · arxiv_version: 2506.05406v1 · doi: 10.48550/arxiv.2506.05406 · pith_short_12: GISMU7SWA37O · pith_short_16: GISMU7SWA37O674B · pith_short_8: GISMU7SW

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/GISMU7SWA37O674BTA3NAYUSOJ \
  | 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: 3224ca7e5606feef7f819836d06292726e8040c32313f6204d948aa3691a541f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eada8b0dbda76d536f41b98b1560d10affc3b63d37b46f21f6cbbbdf87cc38a7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-04T13:18:56Z",
    "title_canon_sha256": "ca3a7bfdc8b5c17564ff3c69d0b661adefaf7a90269a6498842223521d4fa979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05406",
    "kind": "arxiv",
    "version": 1
  }
}