Pith Number

pith:IUARZP2M

pith:2018:IUARZP2MO6XTE4BWV4KLD22R2V

not attested not anchored not stored refs pending

Optimal parametrizations of a class of self-affine sets

Shu-Qin Zhang

arxiv:1805.05753 v1 · 2018-05-15 · 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{IUARZP2MO6XTE4BWV4KLD22R2V}

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	2026-05-18T00:15:53.802854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45011cbf4c77af327036af14b1eb51d57aabe9bc7641bf757ecec175de6d357f

Aliases

arxiv: 1805.05753 · arxiv_version: 1805.05753v1 · doi: 10.48550/arxiv.1805.05753 · pith_short_12: IUARZP2MO6XT · pith_short_16: IUARZP2MO6XTE4BW · pith_short_8: IUARZP2M

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/IUARZP2MO6XTE4BWV4KLD22R2V \
  | 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: 45011cbf4c77af327036af14b1eb51d57aabe9bc7641bf757ecec175de6d357f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c09462a2fd3320adc2267f045cc9ea6c03b27867a99540e9b8ec083b83ac732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-15T13:29:21Z",
    "title_canon_sha256": "d0b5c577fbdbaba193eb7bdf4407a547796b0d7f0b9cb39b663b74f1d9738aec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05753",
    "kind": "arxiv",
    "version": 1
  }
}