Pith Number

pith:XOSBUO6Z

pith:2019:XOSBUO6ZH2TPSZ5AQ4YPSBNXQP

not attested not anchored not stored refs pending

Dynamics of continuous maps induced on the space of probability measures

Guanrong Chen, Hao Zhu, Hua Shao

arxiv:1908.07676 v4 · 2019-08-21 · 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{XOSBUO6ZH2TPSZ5AQ4YPSBNXQP}

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	2026-07-05T00:47:38.116646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba41a3bd93ea6f967a08730f905b783cf58792e0ccd1cd17a9fa9d5f06f6fef

Aliases

arxiv: 1908.07676 · arxiv_version: 1908.07676v4 · doi: 10.48550/arxiv.1908.07676 · pith_short_12: XOSBUO6ZH2TP · pith_short_16: XOSBUO6ZH2TPSZ5A · pith_short_8: XOSBUO6Z

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/XOSBUO6ZH2TPSZ5AQ4YPSBNXQP \
  | 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: bba41a3bd93ea6f967a08730f905b783cf58792e0ccd1cd17a9fa9d5f06f6fef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88ffa9254637c0454b77458fc28868602d7bae91c2d6148c26c15aa82e7b7e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-21T02:20:01Z",
    "title_canon_sha256": "9a5417285e0c10c38596db47dc53f139b9757bb364257be79c6f835d1de528c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07676",
    "kind": "arxiv",
    "version": 4
  }
}