Pith Number

pith:2PSSDOLL

pith:2018:2PSSDOLLY7UKLNBNJIZ74EYF4O

not attested not anchored not stored refs pending

Bohr sets in triple products of large sets in amenable groups

John T. Griesmer, Michael Bj\"orklund

arxiv:1804.01164 v1 · 2018-04-03 · 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{2PSSDOLLY7UKLNBNJIZ74EYF4O}

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	2026-05-18T00:19:15.889197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e521b96bc7e8a5b42d4a33fe1305e39ee7ab70cf6a7a4bcf4e63d2fb3bae52

Aliases

arxiv: 1804.01164 · arxiv_version: 1804.01164v1 · doi: 10.48550/arxiv.1804.01164 · pith_short_12: 2PSSDOLLY7UK · pith_short_16: 2PSSDOLLY7UKLNBN · pith_short_8: 2PSSDOLL

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/2PSSDOLLY7UKLNBNJIZ74EYF4O \
  | 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: d3e521b96bc7e8a5b42d4a33fe1305e39ee7ab70cf6a7a4bcf4e63d2fb3bae52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fed8e4d5f08845a3fc326d3cc898529da02493508ea15de3ad4d7c28a2af3df",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-03T20:45:32Z",
    "title_canon_sha256": "f57f6c3ada8181e486724683ea6e5372db4903b4e7b5a14980287a1f1b5e80a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01164",
    "kind": "arxiv",
    "version": 1
  }
}