Pith Number

pith:RPSZDILL

pith:2026:RPSZDILLYMZYU2BQHSLOY2NQTZ

not attested not anchored not stored refs pending

An explicit lower bound for the unit distance problem

Will Sawin

arxiv:2605.20579 v1 · 2026-05-20 · math.CO · math.MG · 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{RPSZDILLYMZYU2BQHSLOY2NQTZ}

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	2026-05-21T01:04:43.281760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8be591a16bc3338a68303c96ec69b09e7eaaab097fc19d4c334560ee7c41a4e9

Aliases

arxiv: 2605.20579 · arxiv_version: 2605.20579v1 · doi: 10.48550/arxiv.2605.20579 · pith_short_12: RPSZDILLYMZY · pith_short_16: RPSZDILLYMZYU2BQ · pith_short_8: RPSZDILL

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/RPSZDILLYMZYU2BQHSLOY2NQTZ \
  | 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: 8be591a16bc3338a68303c96ec69b09e7eaaab097fc19d4c334560ee7c41a4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4320a0ad5aae13ee3134b8e0c0b983d4a8c7b8a636b05915a1cba79f6526c3ae",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T00:37:35Z",
    "title_canon_sha256": "0c81a6598548fbfea6da6791f28ead14507e70da2a65012ee4b1c4ce7d3a40bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20579",
    "kind": "arxiv",
    "version": 1
  }
}