Pith Number

pith:XFI6W2L5

pith:2008:XFI6W2L57RL3XCCEKECEQ2M4PT

not attested not anchored not stored refs pending

On ill-posedness for the one-dimensional periodic cubic Schrodinger equation

Luc Molinet (LAGA)

arxiv:0806.4538 v2 · 2008-06-27 · 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{XFI6W2L57RL3XCCEKECEQ2M4PT}

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	2026-07-04T15:12:35.335737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b951eb697dfc57bb8844510448699c7cd246c1431599a2797a8cd0396c17f2bc

Aliases

arxiv: 0806.4538 · arxiv_version: 0806.4538v2 · doi: 10.48550/arxiv.0806.4538 · pith_short_12: XFI6W2L57RL3 · pith_short_16: XFI6W2L57RL3XCCE · pith_short_8: XFI6W2L5

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/XFI6W2L57RL3XCCEKECEQ2M4PT \
  | 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: b951eb697dfc57bb8844510448699c7cd246c1431599a2797a8cd0396c17f2bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59295e06bb8d0de6aff0c48f421d7f96ddedac0351478a7c324750a197f9b3a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-06-27T14:54:21Z",
    "title_canon_sha256": "f833b4f5345a20a7b682a2fa5f17307cdd9281db6b4678b52088f2ae24fcfe19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.4538",
    "kind": "arxiv",
    "version": 2
  }
}