Pith Number

pith:K3PNQDWA

pith:2016:K3PNQDWA6YLRFXDOLS5Y3TUEVX

not attested not anchored not stored refs pending

Blow-up solutions for $L^2$-supercritical gKdV equations with exactly $k$ blow-up points

Yang Lan

arxiv:1602.08617 v4 · 2016-02-27 · 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{K3PNQDWA6YLRFXDOLS5Y3TUEVX}

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	2026-05-18T00:40:19.754517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ded80ec0f61712dc6e5cbb8dce84ade4bacadb0f763f2ed0fc0e233af13a01

Aliases

arxiv: 1602.08617 · arxiv_version: 1602.08617v4 · doi: 10.48550/arxiv.1602.08617 · pith_short_12: K3PNQDWA6YLR · pith_short_16: K3PNQDWA6YLRFXDO · pith_short_8: K3PNQDWA

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/K3PNQDWA6YLRFXDOLS5Y3TUEVX \
  | 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: 56ded80ec0f61712dc6e5cbb8dce84ade4bacadb0f763f2ed0fc0e233af13a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd17c56259ff6d43a899861009f91f4293e7c846cde89b48d79089489f638d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-27T17:27:17Z",
    "title_canon_sha256": "fd25008c8513dbcb4688addee2f017b4c2ff11fdd4c4bd655fb0d5ef88204b19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08617",
    "kind": "arxiv",
    "version": 4
  }
}