Pith Number

pith:XSUUYCWP

pith:2019:XSUUYCWPXK2B53E4BBWMRFJYQL

not attested not anchored not stored refs pending

Hypercontractivity for global functions and sharp thresholds

Dor Minzer, Eoin Long, Noam Lifshitz, Peter Keevash

arxiv:1906.05568 v1 · 2019-06-13 · 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{XSUUYCWPXK2B53E4BBWMRFJYQL}

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	2026-05-17T23:43:24.908370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca94c0acfbab41eec9c086cc8953882edff7d07214f8c2482bd5140e70e23ad

Aliases

arxiv: 1906.05568 · arxiv_version: 1906.05568v1 · doi: 10.48550/arxiv.1906.05568 · pith_short_12: XSUUYCWPXK2B · pith_short_16: XSUUYCWPXK2B53E4 · pith_short_8: XSUUYCWP

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/XSUUYCWPXK2B53E4BBWMRFJYQL \
  | 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: bca94c0acfbab41eec9c086cc8953882edff7d07214f8c2482bd5140e70e23ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b15e3f8572607fe530856f1621beb06892c31875abc4286df1569af368d644",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-13T09:34:51Z",
    "title_canon_sha256": "fccbe92b12c11204013b93ef724393e4f2860a6aef1e65bbe68fae2a72f1db1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05568",
    "kind": "arxiv",
    "version": 1
  }
}