Pith Number

pith:W3OZYR43

pith:2016:W3OZYR43PSFYEDANA6DUIAFI3K

not attested not anchored not stored refs pending

On Takens' Last Problem: tangencies and time averages near heteroclinic networks

Alexandre A. P. Rodrigues, Isabel S. Labouriau

arxiv:1606.07017 v3 · 2016-06-22 · 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{W3OZYR43PSFYEDANA6DUIAFI3K}

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	2026-05-18T00:31:36.448140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6dd9c479b7c8b820c0d07874400a8da8a61ad3ef735bcb05eed9f89e6befc8b

Aliases

arxiv: 1606.07017 · arxiv_version: 1606.07017v3 · doi: 10.48550/arxiv.1606.07017 · pith_short_12: W3OZYR43PSFY · pith_short_16: W3OZYR43PSFYEDAN · pith_short_8: W3OZYR43

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/W3OZYR43PSFYEDANA6DUIAFI3K \
  | 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: b6dd9c479b7c8b820c0d07874400a8da8a61ad3ef735bcb05eed9f89e6befc8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3659e5f4cd45c5e4a75f272aa3f2c08cd25d5e9d146ddd2e35050cf20fa19b3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-22T17:34:42Z",
    "title_canon_sha256": "c79201a41666abde59c4b9bb0090d96a40cd770d1ff6a8f546c2e92ce414f53f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07017",
    "kind": "arxiv",
    "version": 3
  }
}