Pith Number

pith:7OUJXZZQ

pith:2015:7OUJXZZQFCQHJPGAS2MNRASN4Z

not attested not anchored not stored refs pending

Non-abelian Littlewood-Offord inequalities

Pham H. Tiep, Van H. Vu

arxiv:1506.01958 v2 · 2015-06-05 · math.PR · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OUJXZZQFCQHJPGAS2MNRASN4Z}

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	2026-05-18T01:35:43.287490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba89be73028a074bcc09698d8824de6415dfc7a77d50d487d32169ce23d2313

Aliases

arxiv: 1506.01958 · arxiv_version: 1506.01958v2 · doi: 10.48550/arxiv.1506.01958 · pith_short_12: 7OUJXZZQFCQH · pith_short_16: 7OUJXZZQFCQHJPGA · pith_short_8: 7OUJXZZQ

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/7OUJXZZQFCQHJPGAS2MNRASN4Z \
  | 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: fba89be73028a074bcc09698d8824de6415dfc7a77d50d487d32169ce23d2313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0aa3d9c50c6731a7dd0652ed392fd28638e7309de292c2915eeb14bfe07298e",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-05T16:16:12Z",
    "title_canon_sha256": "dcf0f64215954e8eecd49f66ed94547f83b57de52a20d38aed2785413f393e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01958",
    "kind": "arxiv",
    "version": 2
  }
}