Pith Number

pith:IBBUQXJS

pith:2020:IBBUQXJSQSTEHKYVBRVQQ4CCYX

not attested not anchored not stored refs pending

Extensions of Autocorrelation Inequalities with Applications to Additive Combinatorics

Dylan King, Sara Fish, Steven J. Miller

arxiv:2001.02326 v1 · 2020-01-08 · math.FA · 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{IBBUQXJSQSTEHKYVBRVQQ4CCYX}

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	2026-07-05T00:32:16.890746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4043485d3284a643ab150c6b087042c5e1ac53c7cbc61b1b2950c6f644224eac

Aliases

arxiv: 2001.02326 · arxiv_version: 2001.02326v1 · doi: 10.48550/arxiv.2001.02326 · pith_short_12: IBBUQXJSQSTE · pith_short_16: IBBUQXJSQSTEHKYV · pith_short_8: IBBUQXJS

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/IBBUQXJSQSTEHKYVBRVQQ4CCYX \
  | 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: 4043485d3284a643ab150c6b087042c5e1ac53c7cbc61b1b2950c6f644224eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a8680f74fd73971071b2dbc8925dd7c426f365698cc8c52f8242b17ccfd3666",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-01-08T00:53:49Z",
    "title_canon_sha256": "b97f4a99387698e3fab46452d6fe242a6da126a8ba9e95c66479c287e8cd21a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.02326",
    "kind": "arxiv",
    "version": 1
  }
}