Pith Number

pith:PTEYIANT

pith:2017:PTEYIANT44UABZ2QLH4P4R2BFH

not attested not anchored not stored refs pending

On the growth rate inequality for periodic points in the two sphere

A. Portela, A. Rovella, F. Valenzuela, G. Honorato, J. Iglesias, J. Xavier

arxiv:1707.06144 v1 · 2017-07-19 · 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{PTEYIANT44UABZ2QLH4P4R2BFH}

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	2026-05-18T00:39:57.478510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc98401b3e72800e75059f8fe474129edb900ebda8581fd7a0783664b8f7072

Aliases

arxiv: 1707.06144 · arxiv_version: 1707.06144v1 · doi: 10.48550/arxiv.1707.06144 · pith_short_12: PTEYIANT44UA · pith_short_16: PTEYIANT44UABZ2Q · pith_short_8: PTEYIANT

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/PTEYIANT44UABZ2QLH4P4R2BFH \
  | 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: 7cc98401b3e72800e75059f8fe474129edb900ebda8581fd7a0783664b8f7072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d5ae1da8957652e20e40fbd6ca4488d1c4a979c27c6f380a28f6e59149cd01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-19T15:14:51Z",
    "title_canon_sha256": "6d66a06eb968029ca97e0356a5f526a396599117e24a82dc38a7571bb4b84fe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06144",
    "kind": "arxiv",
    "version": 1
  }
}