Pith Number

pith:5KMOPYUF

pith:2016:5KMOPYUFEAVQVA3KS6AXMNDE3H

not attested not anchored not stored refs pending

Topological invariance of the Collet-Eckmann condition for one-dimensional maps

Huaibin Li

arxiv:1607.02010 v1 · 2016-07-07 · 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{5KMOPYUFEAVQVA3KS6AXMNDE3H}

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	2026-05-18T00:45:49.060238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea98e7e285202b0a836a9781763464d9e842d07005d04fc34e2a04c846a5d73f

Aliases

arxiv: 1607.02010 · arxiv_version: 1607.02010v1 · doi: 10.48550/arxiv.1607.02010 · pith_short_12: 5KMOPYUFEAVQ · pith_short_16: 5KMOPYUFEAVQVA3K · pith_short_8: 5KMOPYUF

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/5KMOPYUFEAVQVA3KS6AXMNDE3H \
  | 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: ea98e7e285202b0a836a9781763464d9e842d07005d04fc34e2a04c846a5d73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f58537fdd6dfa0fda4f1604bdec648c5ac66edd237e41753331216790192052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-07T13:44:06Z",
    "title_canon_sha256": "ca643b4bd444ca7b186a8e5853941a1ac517d7be1e4e38469376adc1706ae79c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02010",
    "kind": "arxiv",
    "version": 1
  }
}