Pith Number

pith:GUIGDHYV

pith:2026:GUIGDHYVGGLWO6Y5I3NLGKQCH4

not attested not anchored not stored refs pending

Beating Product Constructions for Linear Equations Over Finite Fields

Fred Tyrrell, Paul Hametner

arxiv:2606.12194 v1 · 2026-06-10 · 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{GUIGDHYVGGLWO6Y5I3NLGKQCH4}

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	2026-06-11T01:10:53.418739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3510619f153197677b1d46dab32a023f01fb4816699d2e5093c9ba81dcf5623e

Aliases

arxiv: 2606.12194 · arxiv_version: 2606.12194v1 · doi: 10.48550/arxiv.2606.12194 · pith_short_12: GUIGDHYVGGLW · pith_short_16: GUIGDHYVGGLWO6Y5 · pith_short_8: GUIGDHYV

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/GUIGDHYVGGLWO6Y5I3NLGKQCH4 \
  | 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: 3510619f153197677b1d46dab32a023f01fb4816699d2e5093c9ba81dcf5623e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6373a6c159c42120b9fa7422477d42413e54ffe026735a095a2f20544daddedd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-10T15:16:54Z",
    "title_canon_sha256": "e483ddbf2835648e8ff9626bd2b00d46bb4a352429377aaeb7fb90fd40975119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12194",
    "kind": "arxiv",
    "version": 1
  }
}