Pith Number

pith:YBNGD4XJ

pith:2015:YBNGD4XJ43JASLEZJ4TMF27GXX

not attested not anchored not stored refs pending

On the Number of Dot Products Determined by a Large Set and One of its Translates in Finite Fields

Giorgis Petridis

arxiv:1510.07918 v2 · 2015-10-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBNGD4XJ43JASLEZJ4TMF27GXX}

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	2026-05-18T00:42:13.439085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c05a61f2e9e6d2092c994f26c2ebe6bdefdbf2664307f2ef9630062a3a84931d

Aliases

arxiv: 1510.07918 · arxiv_version: 1510.07918v2 · doi: 10.48550/arxiv.1510.07918 · pith_short_12: YBNGD4XJ43JA · pith_short_16: YBNGD4XJ43JASLEZ · pith_short_8: YBNGD4XJ

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/YBNGD4XJ43JASLEZJ4TMF27GXX \
  | 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: c05a61f2e9e6d2092c994f26c2ebe6bdefdbf2664307f2ef9630062a3a84931d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6da1fd610827f3d695077395417a8828fb597fac32a8a858e96905a3d701da4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-27T14:29:55Z",
    "title_canon_sha256": "676a7e63380f9e159fda51062a0fe63f47f08f8a4548740df91dbb8ae1f201ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07918",
    "kind": "arxiv",
    "version": 2
  }
}