Pith Number

pith:6PPDECWF

pith:2015:6PPDECWFDYSDVYUYGXGOQAZRP4

not attested not anchored not stored refs pending

The structure of mode-locking regions of piecewise-linear continuous maps

David J.W. Simpson

arxiv:1510.01416 v1 · 2015-10-06 · 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{6PPDECWFDYSDVYUYGXGOQAZRP4}

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	2026-05-18T01:30:56.940946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3de320ac51e243ae29835cce803317f267c16c91f567cafdfaf62907e8f9028

Aliases

arxiv: 1510.01416 · arxiv_version: 1510.01416v1 · doi: 10.48550/arxiv.1510.01416 · pith_short_12: 6PPDECWFDYSD · pith_short_16: 6PPDECWFDYSDVYUY · pith_short_8: 6PPDECWF

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/6PPDECWFDYSDVYUYGXGOQAZRP4 \
  | 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: f3de320ac51e243ae29835cce803317f267c16c91f567cafdfaf62907e8f9028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6737bc66c0b401acf4305b442ff0b7a54601694ae57640c4127aa36bcf5679d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-06T03:08:15Z",
    "title_canon_sha256": "869a27fe88d5272de0affe083dd8ef96bafc57aa04bdc685e14100edbb5cd899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01416",
    "kind": "arxiv",
    "version": 1
  }
}