Pith Number

pith:ETC7JOAN

pith:2016:ETC7JOANDAEKBAPVHAZUQI636Z

not attested not anchored not stored refs pending

Spherical Recurrence and locally isometric embeddings of trees into positive density subsets of $\mathbb{Z}^d$

Kamil Bulinski

arxiv:1606.07596 v4 · 2016-06-24 · math.DS · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETC7JOANDAEKBAPVHAZUQI636Z}

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	2026-05-18T00:42:22.005248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24c5f4b80d1808a081f538334823dbf65127539331228ad58ad9a33ff19c9672

Aliases

arxiv: 1606.07596 · arxiv_version: 1606.07596v4 · doi: 10.48550/arxiv.1606.07596 · pith_short_12: ETC7JOANDAEK · pith_short_16: ETC7JOANDAEKBAPV · pith_short_8: ETC7JOAN

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/ETC7JOANDAEKBAPVHAZUQI636Z \
  | 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: 24c5f4b80d1808a081f538334823dbf65127539331228ad58ad9a33ff19c9672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a65fe706f170948389d466954d79d3516cb19c2b29612c87133d78df2dae9dc3",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-24T08:15:43Z",
    "title_canon_sha256": "006fab853e77d9661b58e7a28303411eabde5e1a83cdf305fc37700cbfcd96f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07596",
    "kind": "arxiv",
    "version": 4
  }
}