Pith Number

pith:Y65PJGRJ

pith:2009:Y65PJGRJP2MOUJ7MRW4EHBVQZ4

not attested not anchored not stored refs pending

Resonances in long time integration of semi linear Hamiltonian PDEs

Benoit Grebert (LMJL), Erwan Faou (IRMAR)

arxiv:0904.1459 v1 · 2009-04-09 · 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{Y65PJGRJP2MOUJ7MRW4EHBVQZ4}

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	2026-06-03T23:06:25.539380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7baf49a297e98ea27ec8db84386b0cf2a98e5ccba5c8e5b4146ac269bf0a56d

Aliases

arxiv: 0904.1459 · arxiv_version: 0904.1459v1 · doi: 10.48550/arxiv.0904.1459 · pith_short_12: Y65PJGRJP2MO · pith_short_16: Y65PJGRJP2MOUJ7M · pith_short_8: Y65PJGRJ

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/Y65PJGRJP2MOUJ7MRW4EHBVQZ4 \
  | 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: c7baf49a297e98ea27ec8db84386b0cf2a98e5ccba5c8e5b4146ac269bf0a56d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "807d7fc0bd80035805f35b703c46dc121c8c80d264af620e93e16cc0d0b8c95e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-04-09T06:22:23Z",
    "title_canon_sha256": "8bdfc38c74c45c3a3944f5589cd96cc962857a669245b1914b7711df9a421122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1459",
    "kind": "arxiv",
    "version": 1
  }
}