Pith Number

pith:ZCEOA5YX

pith:2019:ZCEOA5YXJO7REORZRRRJGEBOXH

not attested not anchored not stored refs pending

Schmidt's Game and Nonuniformly Expanding Interval Maps

Jason Duvall

arxiv:1911.12004 v2 · 2019-11-27 · 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{ZCEOA5YXJO7REORZRRRJGEBOXH}

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	2026-06-19T16:09:44.633049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c888e077174bbf123a398c6293102eb9cc001f113761903b5646a3019081bdb1

Aliases

arxiv: 1911.12004 · arxiv_version: 1911.12004v2 · doi: 10.48550/arxiv.1911.12004 · pith_short_12: ZCEOA5YXJO7R · pith_short_16: ZCEOA5YXJO7REORZ · pith_short_8: ZCEOA5YX

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/ZCEOA5YXJO7REORZRRRJGEBOXH \
  | 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: c888e077174bbf123a398c6293102eb9cc001f113761903b5646a3019081bdb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce1d640d10f77a139511f107ac3b5327e5c3153be4930574a9bfd628b8d3ed4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-11-27T08:02:44Z",
    "title_canon_sha256": "b8ffdcf78745b43aab7c7dcac0622729baab83cd542d358dc72c0b812c7fce58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12004",
    "kind": "arxiv",
    "version": 2
  }
}