Pith Number

pith:TKZUFQ7D

pith:2014:TKZUFQ7DJYVLAZDEEVXYFS6ZJ5

not attested not anchored not stored refs pending

An analytic system with a computable hyperbolic sink whose basin of attraction is non-computable

Daniel S. Gra\c{c}a, Ning Zhong

arxiv:1409.1163 v1 · 2014-09-03 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKZUFQ7DJYVLAZDEEVXYFS6ZJ5}

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	2026-05-18T02:43:37.541661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab342c3e34e2ab06464256f82cbd94f75c3d87101f597c990b5e59b6aba25d3

Aliases

arxiv: 1409.1163 · arxiv_version: 1409.1163v1 · doi: 10.48550/arxiv.1409.1163 · pith_short_12: TKZUFQ7DJYVL · pith_short_16: TKZUFQ7DJYVLAZDE · pith_short_8: TKZUFQ7D

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/TKZUFQ7DJYVLAZDEEVXYFS6ZJ5 \
  | 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: 9ab342c3e34e2ab06464256f82cbd94f75c3d87101f597c990b5e59b6aba25d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8551525646855cd4f8bcfc9984117ba8992078601f2801401c545452a6a678b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-09-03T16:51:34Z",
    "title_canon_sha256": "59a5385a0e7ddaa93c33384dec451b9dc3d124577c5fc10c345dcebd4763f0ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1163",
    "kind": "arxiv",
    "version": 1
  }
}