Pith Number

pith:XQAZYO2E

pith:2017:XQAZYO2EZOORC7U5QDEHWBWC7S

not attested not anchored not stored refs pending

Construction of multi-bubble solutions for the critical gKdV equation

Vianney Combet, Yvan Martel

arxiv:1706.09870 v1 · 2017-06-29 · 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{XQAZYO2EZOORC7U5QDEHWBWC7S}

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	2026-05-18T00:41:13.633741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc019c3b44cb9d117e9d80c87b06c2fc9d498dabd2a61814ce76b774c09d5eb6

Aliases

arxiv: 1706.09870 · arxiv_version: 1706.09870v1 · doi: 10.48550/arxiv.1706.09870 · pith_short_12: XQAZYO2EZOOR · pith_short_16: XQAZYO2EZOORC7U5 · pith_short_8: XQAZYO2E

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/XQAZYO2EZOORC7U5QDEHWBWC7S \
  | 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: bc019c3b44cb9d117e9d80c87b06c2fc9d498dabd2a61814ce76b774c09d5eb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20dda08ae181d7d8bc983b363336977ece2c69c387c3fefa77ae2fa662503548",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-29T17:34:54Z",
    "title_canon_sha256": "91a4fd30cad85aeb07670504caa47b6cc8580236225facdfc0a33bf6384c4c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09870",
    "kind": "arxiv",
    "version": 1
  }
}