Pith Number

pith:YUHTKQZP

pith:2026:YUHTKQZPZGPVFH36BEC6SMV4NH

not attested not anchored not stored refs pending

The Minkowski grid has robustly many repeated distances

Cosmin Pohoata, Daniel G. Zhu, Sungchul Lee

arxiv:2607.05374 v1 · 2026-07-06 · 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{YUHTKQZPZGPVFH36BEC6SMV4NH}

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	2026-07-07T03:19:25.288207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c50f35432fc99f529f7e0905e932bc69d27ff87cc25bd96dbd923a998d865527

Aliases

arxiv: 2607.05374 · arxiv_version: 2607.05374v1 · doi: 10.48550/arxiv.2607.05374 · pith_short_12: YUHTKQZPZGPV · pith_short_16: YUHTKQZPZGPVFH36 · pith_short_8: YUHTKQZP

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/YUHTKQZPZGPVFH36BEC6SMV4NH \
  | 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: c50f35432fc99f529f7e0905e932bc69d27ff87cc25bd96dbd923a998d865527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b22ddf67d1d9ecc146797da11a8c1e3bf65cd7b8b1ad7b3b013292acfad01d8",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-06T17:52:52Z",
    "title_canon_sha256": "7bd12c7baa1eeb6cfe64ded0e7fe61fec02ca3fb1172e96a493c0380434ad1db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05374",
    "kind": "arxiv",
    "version": 1
  }
}