Pith Number

pith:2ERA7F3E

pith:2018:2ERA7F3EQFATVCTUUZGKAHEGRO

not attested not anchored not stored refs pending

Fast growth of the number of periodic points arising from heterodimensional connections

Dmitry Turaev, Katsutoshi Shinohara, Masayuki Asaoka

arxiv:1808.07218 v1 · 2018-08-22 · 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{2ERA7F3EQFATVCTUUZGKAHEGRO}

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	2026-05-18T00:07:29.565094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1220f976481413a8a74a64ca01c868b9879e71f2e4c630baa3d6e428d49ec60

Aliases

arxiv: 1808.07218 · arxiv_version: 1808.07218v1 · doi: 10.48550/arxiv.1808.07218 · pith_short_12: 2ERA7F3EQFAT · pith_short_16: 2ERA7F3EQFATVCTU · pith_short_8: 2ERA7F3E

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/2ERA7F3EQFATVCTUUZGKAHEGRO \
  | 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: d1220f976481413a8a74a64ca01c868b9879e71f2e4c630baa3d6e428d49ec60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d36631f1ed90a6d57937348ff98ec1ed7aa860d7e3ebe8226fb559b65f33b22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-22T04:52:02Z",
    "title_canon_sha256": "b09747878c88695b713fa2a506b558a83202c1e86a8829572c3d460a2207fbbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07218",
    "kind": "arxiv",
    "version": 1
  }
}