Pith Number

pith:EMY2QV3F

pith:2016:EMY2QV3FBIPNOKZHQKZG4D5BAH

not attested not anchored not stored refs pending

Strict contractions and exotic SO_0(d,1) quotients

Christopher J Leininger, Grant S. Lakeland

arxiv:1606.02609 v4 · 2016-06-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMY2QV3FBIPNOKZHQKZG4D5BAH}

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	2026-05-18T00:29:55.935503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2331a857650a1ed72b2782b26e0fa101cb2d5c37f32c2b9ad02933a07903134f

Aliases

arxiv: 1606.02609 · arxiv_version: 1606.02609v4 · doi: 10.48550/arxiv.1606.02609 · pith_short_12: EMY2QV3FBIPN · pith_short_16: EMY2QV3FBIPNOKZH · pith_short_8: EMY2QV3F

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/EMY2QV3FBIPNOKZHQKZG4D5BAH \
  | 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: 2331a857650a1ed72b2782b26e0fa101cb2d5c37f32c2b9ad02933a07903134f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7536c1af74247adcfd564bf4fbed8bbd9441b502b29d056ac842d565cb8215d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-08T15:42:17Z",
    "title_canon_sha256": "3589ff29ac26ef18723917b6c59128e6786e223a7bc22cdd34ffd09c302680ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02609",
    "kind": "arxiv",
    "version": 4
  }
}