Pith Number

pith:GMCVUU7D

pith:2017:GMCVUU7DAHU7BPJDYP4YILPE7O

not attested not anchored not stored refs pending

A homogenization theorem for Langevin systems with an application to Hamiltonian dynamics

Jan Wehr, Jeremiah Birrell

arxiv:1707.02884 v2 · 2017-07-10 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMCVUU7DAHU7BPJDYP4YILPE7O}

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	2026-05-18T00:08:05.163328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33055a53e301e9f0bd23c3f9842de4fb8ea9e9ec83ce147a849b512837706035

Aliases

arxiv: 1707.02884 · arxiv_version: 1707.02884v2 · doi: 10.48550/arxiv.1707.02884 · pith_short_12: GMCVUU7DAHU7 · pith_short_16: GMCVUU7DAHU7BPJD · pith_short_8: GMCVUU7D

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/GMCVUU7DAHU7BPJDYP4YILPE7O \
  | 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: 33055a53e301e9f0bd23c3f9842de4fb8ea9e9ec83ce147a849b512837706035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d73d7da339baa5f45b6174f5b27360bb15763a26bb8f8b0826d7940997d65bab",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-10T14:41:07Z",
    "title_canon_sha256": "55fe8c8cd5842959488818c1a8ee5e18040dd9d229698ed939bad2f5433557e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02884",
    "kind": "arxiv",
    "version": 2
  }
}