Pith Number

pith:HTMKJTNB

pith:2026:HTMKJTNB7KR7JBT67WRHZFOJWR

not attested not anchored not stored refs pending

Remarks on the disproof of the unit distance conjecture

Arul Shankar, Daniel Litt, Jacob Tsimerman, Melanie Matchett Wood, Noga Alon, Thomas F. Bloom, Victor Wang, Will Sawin, W. T. Gowers

arxiv:2605.20695 v1 · 2026-05-20 · 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{HTMKJTNB7KR7JBT67WRHZFOJWR}

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	2026-05-21T01:04:49.618109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd8a4cda1faa3f4867efda27c95c9b46e5c413cc6b27192c86c99cd371133d0

Aliases

arxiv: 2605.20695 · arxiv_version: 2605.20695v1 · doi: 10.48550/arxiv.2605.20695 · pith_short_12: HTMKJTNB7KR7 · pith_short_16: HTMKJTNB7KR7JBT6 · pith_short_8: HTMKJTNB

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/HTMKJTNB7KR7JBT67WRHZFOJWR \
  | 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: 3cd8a4cda1faa3f4867efda27c95c9b46e5c413cc6b27192c86c99cd371133d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aceb13869f838cd2f55a67b8920de2e02ebd3a30c1af0211e4c705d1571e011",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T04:46:35Z",
    "title_canon_sha256": "8ba457e958ba42e54327708fd49c34585a4e84ea957dde6e38524c3abd19bc89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20695",
    "kind": "arxiv",
    "version": 1
  }
}