Pith Number

pith:2DBLIXNO

pith:2013:2DBLIXNOS6GDCY2TDMYN5TXYDY

not attested not anchored not stored refs pending

Sumsets in quadratic residues

Ilya D. Shkredov

arxiv:1305.4093 v1 · 2013-05-17 · math.NT · 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{2DBLIXNOS6GDCY2TDMYN5TXYDY}

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	2026-05-18T03:25:26.312770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0c2b45dae978c3163531b30decef81e035d0e0914ed3206ed4e63da3b00d379

Aliases

arxiv: 1305.4093 · arxiv_version: 1305.4093v1 · doi: 10.48550/arxiv.1305.4093 · pith_short_12: 2DBLIXNOS6GD · pith_short_16: 2DBLIXNOS6GDCY2T · pith_short_8: 2DBLIXNO

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/2DBLIXNOS6GDCY2TDMYN5TXYDY \
  | 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: d0c2b45dae978c3163531b30decef81e035d0e0914ed3206ed4e63da3b00d379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b3a299da06de1a6357c3eee71de69f409278a891294c693355421dbc085781",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-17T14:22:45Z",
    "title_canon_sha256": "00f45cfc213698e73d51b9413d7e980cf9d2bc71f600ea70536df674816825bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4093",
    "kind": "arxiv",
    "version": 1
  }
}