Pith Number

pith:SPAHASM2

pith:2009:SPAHASM2I5FNFWURLWNAM3OPCD

not attested not anchored not stored refs pending

Quasi invariant modified Sobolev norms for semi linear reversible PDEs

Benoit Grebert (LMJL), Erwan Faou (IRMAR)

arxiv:0908.3112 v1 · 2009-08-21 · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPAHASM2I5FNFWURLWNAM3OPCD}

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	2026-05-18T00:56:53.109086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c070499a474ad2da915d9a066dcf10eb787613ee44301e38a460a40741708e

Aliases

arxiv: 0908.3112 · arxiv_version: 0908.3112v1 · doi: 10.48550/arxiv.0908.3112 · pith_short_12: SPAHASM2I5FN · pith_short_16: SPAHASM2I5FNFWUR · pith_short_8: SPAHASM2

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/SPAHASM2I5FNFWURLWNAM3OPCD \
  | 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: 93c070499a474ad2da915d9a066dcf10eb787613ee44301e38a460a40741708e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1662273ba19db097bd470386e5e6fc1cc37499c753d4e24be947157ddf8e0be",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-21T12:28:53Z",
    "title_canon_sha256": "3de90315746d2e3b3ee94f560d97f38b1387f3939d402a2ca48fa55d7ac14892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3112",
    "kind": "arxiv",
    "version": 1
  }
}