Pith Number

pith:GPOXD5Y3

pith:2015:GPOXD5Y3OQP3JXYATOJRESKIVD

not attested not anchored not stored refs pending

Codimension one threshold manifold for the critical gKdV equation

Frank Merle, Kenji Nakanishi, Pierre Raphael, Yvan Martel

arxiv:1502.04594 v1 · 2015-02-16 · 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{GPOXD5Y3OQP3JXYATOJRESKIVD}

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	2026-05-18T01:22:41.189263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33dd71f71b741fb4df009b93124948a8ef91c890302251270426c27fe7c2a590

Aliases

arxiv: 1502.04594 · arxiv_version: 1502.04594v1 · doi: 10.48550/arxiv.1502.04594 · pith_short_12: GPOXD5Y3OQP3 · pith_short_16: GPOXD5Y3OQP3JXYA · pith_short_8: GPOXD5Y3

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/GPOXD5Y3OQP3JXYATOJRESKIVD \
  | 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: 33dd71f71b741fb4df009b93124948a8ef91c890302251270426c27fe7c2a590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "455c0bf358369b3067a296b980e46f8135d9fec1915df9311567e7e29c50e932",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-16T16:14:25Z",
    "title_canon_sha256": "3141e4dcebafef7dbfe7542d3b150e8d7ee0e2ee099386708262ad7271381eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04594",
    "kind": "arxiv",
    "version": 1
  }
}