Pith Number

pith:7FNYS62C

pith:2012:7FNYS62CZ3ETIZN6CWI3GYVLZ6

not attested not anchored not stored refs pending

Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit

Beno\^it Gr\'ebert (LMJL), Laurent Thomann (LMJL), Tiphaine J\'ez\'equel (ENS Cachan Bretagne)

arxiv:1211.4155 v2 · 2012-11-17 · 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{7FNYS62CZ3ETIZN6CWI3GYVLZ6}

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	2026-05-18T03:05:26.328336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f95b897b42cec93465be1591b362abcfb12d4e8b39bf2adcce4dc58953dc3a21

Aliases

arxiv: 1211.4155 · arxiv_version: 1211.4155v2 · doi: 10.48550/arxiv.1211.4155 · pith_short_12: 7FNYS62CZ3ET · pith_short_16: 7FNYS62CZ3ETIZN6 · pith_short_8: 7FNYS62C

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/7FNYS62CZ3ETIZN6CWI3GYVLZ6 \
  | 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: f95b897b42cec93465be1591b362abcfb12d4e8b39bf2adcce4dc58953dc3a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248b35f388778cac05e9beb3c487ef42f6c2771457df9369ab367abb741e6cf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-17T20:19:17Z",
    "title_canon_sha256": "0045e08aff72054f33ced8fa664f3f1d1bb7b02a9e08e3af341badc016cb3833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4155",
    "kind": "arxiv",
    "version": 2
  }
}