Pith Number

pith:CP5CXDPB

pith:2016:CP5CXDPBN4LCQRCJKJDVJZL2DH

not attested not anchored not stored refs pending

Sharp asymptotics for the minimal mass blow up solution of critical gKdV equation

Vianney Combet, Yvan Martel

arxiv:1602.03519 v1 · 2016-02-10 · 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{CP5CXDPBN4LCQRCJKJDVJZL2DH}

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	2026-05-18T01:20:59.748368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13fa2b8de16f16284449524754e57a19f4f87863eab293fea3c867d40d960e0e

Aliases

arxiv: 1602.03519 · arxiv_version: 1602.03519v1 · doi: 10.48550/arxiv.1602.03519 · pith_short_12: CP5CXDPBN4LC · pith_short_16: CP5CXDPBN4LCQRCJ · pith_short_8: CP5CXDPB

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/CP5CXDPBN4LCQRCJKJDVJZL2DH \
  | 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: 13fa2b8de16f16284449524754e57a19f4f87863eab293fea3c867d40d960e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc2938307609c11a9dca26b28136e1c567ddcd3eee84b3bd9319d544f7f0b1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-10T20:59:34Z",
    "title_canon_sha256": "cb969e60ab9fbece5ea98d17a25a678c134524df3c9f37997d755d6fbad65a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03519",
    "kind": "arxiv",
    "version": 1
  }
}