Pith Number

pith:EZWP2H37

pith:2022:EZWP2H37CCJJNY62ONYIVGTEAJ

not attested not anchored not stored refs pending

Dot Product Bounds in Galois Rings

David Crosby

arxiv:2207.10051 v1 · 2022-07-20 · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZWP2H37CCJJNY62ONYIVGTEAJ}

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	2026-07-05T04:42:10.786256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

266cfd1f7f109296e3da73708a9a64024430d278cfe7eb20673e5b7aa97045fd

Aliases

arxiv: 2207.10051 · arxiv_version: 2207.10051v1 · doi: 10.48550/arxiv.2207.10051 · pith_short_12: EZWP2H37CCJJ · pith_short_16: EZWP2H37CCJJNY62 · pith_short_8: EZWP2H37

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/EZWP2H37CCJJNY62ONYIVGTEAJ \
  | 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: 266cfd1f7f109296e3da73708a9a64024430d278cfe7eb20673e5b7aa97045fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9792819432ef05e41aabb21926b7f0cbbe0b812b7c006bec90db7bcb68d042ef",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-20T17:30:07Z",
    "title_canon_sha256": "0484b005a06e9798904310fc252468bd7ce70b8a009b55db0524cb970981fa92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.10051",
    "kind": "arxiv",
    "version": 1
  }
}