Pith Number

pith:72W5M44W

pith:2014:72W5M44WIUXZAMZLJUEDUZ5VYD

not attested not anchored not stored refs pending

Asymptotic $h$-expansiveness rate of $C^\infty$ maps

David Burguet, Gang Liao, Jiagang Yang

arxiv:1404.1771 v1 · 2014-04-07 · 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{72W5M44WIUXZAMZLJUEDUZ5VYD}

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	2026-05-18T00:44:29.089031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feadd67396452f90332b4d083a67b5c0d45af2b342c50821d2c2c879efe5781d

Aliases

arxiv: 1404.1771 · arxiv_version: 1404.1771v1 · doi: 10.48550/arxiv.1404.1771 · pith_short_12: 72W5M44WIUXZ · pith_short_16: 72W5M44WIUXZAMZL · pith_short_8: 72W5M44W

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/72W5M44WIUXZAMZLJUEDUZ5VYD \
  | 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: feadd67396452f90332b4d083a67b5c0d45af2b342c50821d2c2c879efe5781d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d219977e3767b5aa5d3c23d5a98df7abb5a6b991131d2f112f245ed136d0c468",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-04-07T12:51:09Z",
    "title_canon_sha256": "91f5a6d51e4e51d330d1be2e73b979db839745d6ec94d128c1cd2f7e81607bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1771",
    "kind": "arxiv",
    "version": 1
  }
}