Pith Number

pith:NSJ23K3O

pith:2009:NSJ23K3OJUAGOI6OWT3JFX5H4P

not attested not anchored not stored refs pending

On the energy critical Schrodinger equation in 3D non-trapping domains

Fabrice Planchon (LAGA), Oana Ivanovici (LM-Orsay)

arxiv:0904.4749 v3 · 2009-04-30 · 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{NSJ23K3OJUAGOI6OWT3JFX5H4P}

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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	2026-05-18T02:13:48.994368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c93adab6e4d006723ceb4f692dfa7e3e67db288d9d734be0304e6ade444aba5

Aliases

arxiv: 0904.4749 · arxiv_version: 0904.4749v3 · doi: 10.48550/arxiv.0904.4749 · pith_short_12: NSJ23K3OJUAG · pith_short_16: NSJ23K3OJUAGOI6O · pith_short_8: NSJ23K3O

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/NSJ23K3OJUAGOI6OWT3JFX5H4P \
  | 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: 6c93adab6e4d006723ceb4f692dfa7e3e67db288d9d734be0304e6ade444aba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80098a81b2026155596c3c238f80e05abc748a56a2273bb75809ea64febe9f94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-30T06:39:51Z",
    "title_canon_sha256": "eae0ea4f356d1ecb759dee1b416d7e7c7470530342fb56aad383e418c15ad078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4749",
    "kind": "arxiv",
    "version": 3
  }
}