Pith Number

pith:36KCPIFU

pith:2018:36KCPIFU5BVWGPR7WTTZXVSQJ2

not attested not anchored not stored refs pending

Some constructions for the higher-dimensional three-distance theorem

Dong Han Kim, Val\'erie Berth\'e

arxiv:1806.02721 v1 · 2018-06-07 · math.NT · 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{36KCPIFU5BVWGPR7WTTZXVSQJ2}

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	2026-05-18T00:13:55.825190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9427a0b4e86b633e3fb4e79bd6504e871dc97720d40d4f677688db49dbd1ba

Aliases

arxiv: 1806.02721 · arxiv_version: 1806.02721v1 · doi: 10.48550/arxiv.1806.02721 · pith_short_12: 36KCPIFU5BVW · pith_short_16: 36KCPIFU5BVWGPR7 · pith_short_8: 36KCPIFU

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/36KCPIFU5BVWGPR7WTTZXVSQJ2 \
  | 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: df9427a0b4e86b633e3fb4e79bd6504e871dc97720d40d4f677688db49dbd1ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c88faaa03fa73eaad2b4e2d71b3c94281f312bccd68ecc948c6b4dac7c7dd0b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-07T15:10:02Z",
    "title_canon_sha256": "d8b4b42bfdf8d83c0f9b78d67dd9bdac14a0ff6f358c5bf574deb1f49c85f5c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02721",
    "kind": "arxiv",
    "version": 1
  }
}