Pith Number

pith:G2UE76YC

pith:2008:G2UE76YC65TLT7W7RNEIU56TRS

not attested not anchored not stored refs pending

Birkhoff normal form and splitting methods for semi linear Hamiltonian PDEs. Part I: Finite dimensional discretization

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

arxiv:0811.4538 v1 · 2008-11-27 · 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{G2UE76YC65TLT7W7RNEIU56TRS}

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	2026-06-03T23:06:09.458918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36a84ffb02f766b9fedf8b488a77d38cbcf87a9d86fc2a497becf56f3bdada4e

Aliases

arxiv: 0811.4538 · arxiv_version: 0811.4538v1 · doi: 10.48550/arxiv.0811.4538 · pith_short_12: G2UE76YC65TL · pith_short_16: G2UE76YC65TLT7W7 · pith_short_8: G2UE76YC

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/G2UE76YC65TLT7W7RNEIU56TRS \
  | 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: 36a84ffb02f766b9fedf8b488a77d38cbcf87a9d86fc2a497becf56f3bdada4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95a41cee8b7fced1737f11b406a0b17e5df2a40b4ef534950d0311393206f9e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-11-27T13:30:41Z",
    "title_canon_sha256": "f8e2249f92878502f0dea485cc687d7923da3d5b63a6ed6c25e7348006798046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4538",
    "kind": "arxiv",
    "version": 1
  }
}