Pith Number

pith:JPZBXALK

pith:2025:JPZBXALKNZ6I6HDPG5YFFUJ7AY

not attested not anchored not stored refs pending

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum

Zexing Li

arxiv:2507.11259 v1 · 2025-07-15 · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPZBXALKNZ6I6HDPG5YFFUJ7AY}

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	2026-07-05T11:37:35.812529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf21b816a6e7c8f1c6f377052d13f0612898b375f60fdfa0f8fc641d9ab78e7

Aliases

arxiv: 2507.11259 · arxiv_version: 2507.11259v1 · doi: 10.48550/arxiv.2507.11259 · pith_short_12: JPZBXALKNZ6I · pith_short_16: JPZBXALKNZ6I6HDP · pith_short_8: JPZBXALK

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/JPZBXALKNZ6I6HDPG5YFFUJ7AY \
  | 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: 4bf21b816a6e7c8f1c6f377052d13f0612898b375f60fdfa0f8fc641d9ab78e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e61f3d786be3b84d6c2f18b37298b96f853f0df2f84c609bec7264551fb0d537",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-15T12:32:16Z",
    "title_canon_sha256": "47b1d83ac776cb096f51ba1b9a1de2ec5e5a91cf60a02d5e558c37665ca76f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11259",
    "kind": "arxiv",
    "version": 1
  }
}