Pith Number

pith:E4LMJNKG

pith:2009:E4LMJNKGNH73QU4GPZBOJ4TJF2

not attested not anchored not stored refs pending

Homogenization of accelerated Frenkel-Kontorova models with $n$ types of particles

Cyril Imbert (CEREMADE), Nicolas Forcadel (CEREMADE), R\'egis Monneau (CERMICS)

arxiv:0906.1722 v2 · 2009-06-09 · 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{E4LMJNKGNH73QU4GPZBOJ4TJF2}

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	2026-05-18T04:20:36.016832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2716c4b54669ffb853867e42e4f2692eb87b85cd32810f31073f3a306ae47410

Aliases

arxiv: 0906.1722 · arxiv_version: 0906.1722v2 · doi: 10.48550/arxiv.0906.1722 · pith_short_12: E4LMJNKGNH73 · pith_short_16: E4LMJNKGNH73QU4G · pith_short_8: E4LMJNKG

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/E4LMJNKGNH73QU4GPZBOJ4TJF2 \
  | 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: 2716c4b54669ffb853867e42e4f2692eb87b85cd32810f31073f3a306ae47410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce154ec39d98442e3f67d0c3f9ab3ebbcaca352f7416afdae0bba52feed143c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-06-09T13:26:30Z",
    "title_canon_sha256": "b32ad829fe201d700d9440b68bad7f399c06b154dd7368639711157bfd529cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1722",
    "kind": "arxiv",
    "version": 2
  }
}