Pith Number

pith:ASEFE3C7

pith:2026:ASEFE3C7LFR477ILC6WNKD5T3G

not attested not anchored not stored refs pending

The sharp exponent for the minimal distance problem

Cosmin Pohoata

arxiv:2607.20422 v1 · 2026-07-22 · 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{ASEFE3C7LFR477ILC6WNKD5T3G}

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	2026-07-23T01:25:20.077349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0488526c5f5963cffd0b17acd50fb3d9abcf28c5f63d80620983d608174b0389

Aliases

arxiv: 2607.20422 · arxiv_version: 2607.20422v1 · doi: 10.48550/arxiv.2607.20422 · pith_short_12: ASEFE3C7LFR4 · pith_short_16: ASEFE3C7LFR477IL · pith_short_8: ASEFE3C7

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/ASEFE3C7LFR477ILC6WNKD5T3G \
  | 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: 0488526c5f5963cffd0b17acd50fb3d9abcf28c5f63d80620983d608174b0389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a5ad83a957dd7b41c0dbac45f9ebcea942518b75a772c8b1b6c1cffe36322f",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-22T17:58:33Z",
    "title_canon_sha256": "614f7417ff7a550b5f0808a66f536f2a5a8c3605b212a6674974ff2cec1032ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20422",
    "kind": "arxiv",
    "version": 1
  }
}