Pith Number

pith:JDNSEMIU

pith:2011:JDNSEMIU5GLCKZ3SCE7CAYASAH

not attested not anchored not stored refs pending

Reducibility of cocycles under a Brjuno-R\"ussmann arithmetical condition

Claire Chavaudret (JAD), Stefano Marmi (SNS PISA)

arxiv:1107.4704 v2 · 2011-07-23 · 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{JDNSEMIU5GLCKZ3SCE7CAYASAH}

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	2026-05-18T04:07:52.486622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48db223114e996256772113e20601201c3b02582fc93579653b287a16da79e01

Aliases

arxiv: 1107.4704 · arxiv_version: 1107.4704v2 · doi: 10.48550/arxiv.1107.4704 · pith_short_12: JDNSEMIU5GLC · pith_short_16: JDNSEMIU5GLCKZ3S · pith_short_8: JDNSEMIU

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/JDNSEMIU5GLCKZ3SCE7CAYASAH \
  | 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: 48db223114e996256772113e20601201c3b02582fc93579653b287a16da79e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ede2d1648aeb4f9fa1b0e4d465a773b94495979d8d8998ab4a4efbe9848601",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-23T18:39:52Z",
    "title_canon_sha256": "47fcc960e13f04f5135dddbc6efb5446bd7db77d93049f4f0db77b7bed5a3941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4704",
    "kind": "arxiv",
    "version": 2
  }
}