Pith Number

pith:YZD7O6AZ

pith:2011:YZD7O6AZHKYJ2R2P2W2W5MASQR

not attested not anchored not stored refs pending

Sensitivity and Devaney's chaos in uniform spaces

Michel Coornaert, Tullio Ceccherini-Silberstein

arxiv:1109.2029 v2 · 2011-09-09 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZD7O6AZHKYJ2R2P2W2W5MASQR}

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	2026-05-18T03:34:35.867662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c647f778193ab09d474fd5b56eb012844ec297a0698073a1cda47351629a01f6

Aliases

arxiv: 1109.2029 · arxiv_version: 1109.2029v2 · doi: 10.48550/arxiv.1109.2029 · pith_short_12: YZD7O6AZHKYJ · pith_short_16: YZD7O6AZHKYJ2R2P · pith_short_8: YZD7O6AZ

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/YZD7O6AZHKYJ2R2P2W2W5MASQR \
  | 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: c647f778193ab09d474fd5b56eb012844ec297a0698073a1cda47351629a01f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1ba90e81b78a9dd8efa1513982193bc9db47eef1f7566b6d9516aa185915050",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-09T14:50:35Z",
    "title_canon_sha256": "ec080a20a1cef18aa49bc8928a03528a4ea5b69c5849d51fb9650c1f16281388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2029",
    "kind": "arxiv",
    "version": 2
  }
}