Pith Number

pith:BRJKKUS4

pith:2013:BRJKKUS4JMKQIGQMNINSYQ5NHX

not attested not anchored not stored refs pending

Squares and difference sets in finite fields

Christine Bachoc, Imre Z. Ruzsa, Mate Matolcsi

arxiv:1305.0577 v1 · 2013-05-02 · 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{BRJKKUS4JMKQIGQMNINSYQ5NHX}

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	2026-05-18T03:26:33.284520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c52a5525c4b15041a0c6a1b2c43ad3dd3d5105eeaf910e72cb9c2c99f6bb8e5

Aliases

arxiv: 1305.0577 · arxiv_version: 1305.0577v1 · doi: 10.48550/arxiv.1305.0577 · pith_short_12: BRJKKUS4JMKQ · pith_short_16: BRJKKUS4JMKQIGQM · pith_short_8: BRJKKUS4

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/BRJKKUS4JMKQIGQMNINSYQ5NHX \
  | 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: 0c52a5525c4b15041a0c6a1b2c43ad3dd3d5105eeaf910e72cb9c2c99f6bb8e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1156b71c3f990cb3d3dc2c0f6dc18fd508ed403a9e6e7da326e247cc57050a3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-02T20:53:00Z",
    "title_canon_sha256": "77feaf6b4aaa20ddebc0289ee018e627d9235d33b04e05eb2053fe830cdb7da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0577",
    "kind": "arxiv",
    "version": 1
  }
}