Pith Number

pith:LVJEMCTC

pith:2024:LVJEMCTCCMDCIS3BSADX2QJEB7

not attested not anchored not stored refs pending

The Reverse Littlewood--Offord problem of Erd\H{o}s

Bhargav Narayanan, Sam Spiro, Tomas Juskevicius, Xiaoyu He

arxiv:2408.11034 v3 · 2024-08-20 · math.PR · 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{LVJEMCTCCMDCIS3BSADX2QJEB7}

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	2026-07-05T09:55:11.743558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d52460a621306244b6190077d41240fded825cfb0c5ed692f4c40c224ec7aa3

Aliases

arxiv: 2408.11034 · arxiv_version: 2408.11034v3 · doi: 10.48550/arxiv.2408.11034 · pith_short_12: LVJEMCTCCMDC · pith_short_16: LVJEMCTCCMDCIS3B · pith_short_8: LVJEMCTC

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/LVJEMCTCCMDCIS3BSADX2QJEB7 \
  | 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: 5d52460a621306244b6190077d41240fded825cfb0c5ed692f4c40c224ec7aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22e7ac6fcd8c8d095335b105b079911176de1221570764ac699bfb382e965db",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-08-20T17:41:37Z",
    "title_canon_sha256": "055b968ac58dfd156375c1765bc1a655e6590ec8d194d1c8156154b2b76a5392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.11034",
    "kind": "arxiv",
    "version": 3
  }
}