Pith Number

pith:C6WE7YVU

pith:2022:C6WE7YVUZLMVXGS7NDM6OUDKH5

not attested not anchored not stored refs pending

The structure of pointwise recurrent expansive homeomorphisms

Enhui Shi, Hui Xu, Ziqi Yu

arxiv:2201.00110 v1 · 2022-01-01 · 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{C6WE7YVUZLMVXGS7NDM6OUDKH5}

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	2026-07-05T03:44:58.803305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17ac4fe2b4cad95b9a5f68d9e7506a3f7ec5d253867ba1385b9a2ba9cdc41686

Aliases

arxiv: 2201.00110 · arxiv_version: 2201.00110v1 · doi: 10.48550/arxiv.2201.00110 · pith_short_12: C6WE7YVUZLMV · pith_short_16: C6WE7YVUZLMVXGS7 · pith_short_8: C6WE7YVU

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/C6WE7YVUZLMVXGS7NDM6OUDKH5 \
  | 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: 17ac4fe2b4cad95b9a5f68d9e7506a3f7ec5d253867ba1385b9a2ba9cdc41686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd150e358ca333207848a88dd6e279ca2a312520c9d2befcbed8efdcc4089b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-01-01T04:39:01Z",
    "title_canon_sha256": "8eca1b5891f8169cf69730e9e95b0cf577555c24244b4ffeefb0e397c7423ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.00110",
    "kind": "arxiv",
    "version": 1
  }
}