Pith Number

pith:PBAMWZJK

pith:2024:PBAMWZJKIYF25WXCDJKBBYI7VB

not attested not anchored not stored refs pending

Chernoff Bounds and Reverse Hypercontractivity on HDX

Max Hopkins, Yotam Dikstein

arxiv:2404.10961 v2 · 2024-04-17 · cs.CC · cs.DM · 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{PBAMWZJKIYF25WXCDJKBBYI7VB}

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.

Cited by

1 paper in Pith

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier

Receipt and verification

First computed	2026-07-05T08:43:28.003020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7840cb652a460baedae21a5410e11fa87ff2eb66638197ac4f01bc05fa033674

Aliases

arxiv: 2404.10961 · arxiv_version: 2404.10961v2 · doi: 10.48550/arxiv.2404.10961 · pith_short_12: PBAMWZJKIYF2 · pith_short_16: PBAMWZJKIYF25WXC · pith_short_8: PBAMWZJK

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/PBAMWZJKIYF25WXCDJKBBYI7VB \
  | 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: 7840cb652a460baedae21a5410e11fa87ff2eb66638197ac4f01bc05fa033674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6a90fda77092334a6d1eced88ab5eb37e585b1400bcacfd2bfb5b0aefc35d4",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2024-04-17T00:06:02Z",
    "title_canon_sha256": "355c6c0c375aefc10073f49e167a361d59343b9d62bcc26355f11df19b9db3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.10961",
    "kind": "arxiv",
    "version": 2
  }
}