Pith Number

pith:DKG52BU6

pith:2019:DKG52BU6SUP6V5BPQJV6DYODB3

not attested not anchored not stored refs pending

Commuting circle diffeomorphisms with their derivatives having mixed moduli of continuity

Enhui Shi, Hui Xu

arxiv:1904.03984 v1 · 2019-04-08 · 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{DKG52BU6SUP6V5BPQJV6DYODB3}

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	2026-05-17T23:49:07.501372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8ddd069e951feaf42f826be1e1c30ec0ffbe53481322eaba4d9192c6f6e48b

Aliases

arxiv: 1904.03984 · arxiv_version: 1904.03984v1 · doi: 10.48550/arxiv.1904.03984 · pith_short_12: DKG52BU6SUP6 · pith_short_16: DKG52BU6SUP6V5BP · pith_short_8: DKG52BU6

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/DKG52BU6SUP6V5BPQJV6DYODB3 \
  | 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: 1a8ddd069e951feaf42f826be1e1c30ec0ffbe53481322eaba4d9192c6f6e48b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aad7a0184b8fd90f463249fa5d255d9e5866e76df2f42f7ecf352cd22f422e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-04-08T12:09:13Z",
    "title_canon_sha256": "946e4249c336fc5dd0f84b1a0e95099da27f9ebec0d3ef3323dec6f9d182c289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03984",
    "kind": "arxiv",
    "version": 1
  }
}