Pith Number

pith:CPEIYEQL

pith:2017:CPEIYEQLIXBKLNOB3TQKYKZ5S5

not attested not anchored not stored refs pending

On continuation properties after blow-up time for $L^2$-critical gKdV equations

Yang Lan

arxiv:1709.09535 v2 · 2017-09-25 · 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{CPEIYEQLIXBKLNOB3TQKYKZ5S5}

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	2026-05-18T00:00:43.687273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c88c120b45c2a5b5c1dce0ac2b3d97609e2d3e37db98006371be90788c689e

Aliases

arxiv: 1709.09535 · arxiv_version: 1709.09535v2 · doi: 10.48550/arxiv.1709.09535 · pith_short_12: CPEIYEQLIXBK · pith_short_16: CPEIYEQLIXBKLNOB · pith_short_8: CPEIYEQL

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/CPEIYEQLIXBKLNOB3TQKYKZ5S5 \
  | 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: 13c88c120b45c2a5b5c1dce0ac2b3d97609e2d3e37db98006371be90788c689e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a94b44b7c776992d1306c25dc8489c2687238aa1bc938b79031000cd39cb5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-25T19:37:13Z",
    "title_canon_sha256": "13b0fcb2ea76f101be4e58ebb5c5739c8b7b5b1d7291629dc1e0758d2afd62a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09535",
    "kind": "arxiv",
    "version": 2
  }
}