Pith Number

pith:A2SSS4UW

pith:2008:A2SSS4UWUEFKYDTVRC3AWMQQ3W

not attested not anchored not stored refs pending

Birkhoff normal form and splitting methods for semi linear Hamiltonian PDEs. Part II: Abstract splitting

Benoit Grebert (LMJL), Eric Paturel (LMJL), Erwan Faou (IRMAR)

arxiv:0811.4081 v1 · 2008-11-25 · math.NA · cs.NA · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2SSS4UWUEFKYDTVRC3AWMQQ3W}

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	2026-06-03T23:06:09.397792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06a5297296a10aac0e7588b60b3210dd885feef542957c9d92866d4713b3a21a

Aliases

arxiv: 0811.4081 · arxiv_version: 0811.4081v1 · doi: 10.48550/arxiv.0811.4081 · pith_short_12: A2SSS4UWUEFK · pith_short_16: A2SSS4UWUEFKYDTV · pith_short_8: A2SSS4UW

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/A2SSS4UWUEFKYDTVRC3AWMQQ3W \
  | 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: 06a5297296a10aac0e7588b60b3210dd885feef542957c9d92866d4713b3a21a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7eabc9c9a602aba9446a2dfd7cbc20778a268d483ff5c29d200ff18dd25861e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-11-25T13:08:49Z",
    "title_canon_sha256": "0c72907f2dd9efcacad0744c93f7350b5adcd578060406beca40ef1c7796d257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4081",
    "kind": "arxiv",
    "version": 1
  }
}