Pith Number

pith:KWPIQY54

pith:2010:KWPIQY54JJGN4KGNA4UZ6MWHTR

not attested not anchored not stored refs pending

Multi-existence of multi-solitons for the supercritical nonlinear Schr\"odinger equation in one dimension

Vianney Combet

arxiv:1008.4613 v1 · 2010-08-26 · 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{KWPIQY54JJGN4KGNA4UZ6MWHTR}

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	2026-05-18T04:41:44.613698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559e8863bc4a4cde28cd07299f32c79c5bf07e312632af7d949bec9945c937dc

Aliases

arxiv: 1008.4613 · arxiv_version: 1008.4613v1 · doi: 10.48550/arxiv.1008.4613 · pith_short_12: KWPIQY54JJGN · pith_short_16: KWPIQY54JJGN4KGN · pith_short_8: KWPIQY54

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/KWPIQY54JJGN4KGNA4UZ6MWHTR \
  | 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: 559e8863bc4a4cde28cd07299f32c79c5bf07e312632af7d949bec9945c937dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba2821c55f25fdb6233bf752312a5741e98f3c4d2b55ac8fc03ca06b0936192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-26T22:28:33Z",
    "title_canon_sha256": "2b27d072c2811eae577fac5d50bc7652661fd3330cfb3cd318932d9559382399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4613",
    "kind": "arxiv",
    "version": 1
  }
}