Pith Number

pith:XFTASJYW

pith:2018:XFTASJYWZAIZRH24KA24WWFHMO

not attested not anchored not stored refs pending

A simplified disproof of Beck's three permutations conjecture and an application to root-mean-squared discrepancy

Cole Franks

arxiv:1811.01102 v3 · 2018-11-02 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFTASJYWZAIZRH24KA24WWFHMO}

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	2026-05-17T23:59:44.574782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b966092716c811989f5c5035cb58a763a7275cdb7717ed1ef92e3549d6f28fa6

Aliases

arxiv: 1811.01102 · arxiv_version: 1811.01102v3 · doi: 10.48550/arxiv.1811.01102 · pith_short_12: XFTASJYWZAIZ · pith_short_16: XFTASJYWZAIZRH24 · pith_short_8: XFTASJYW

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/XFTASJYWZAIZRH24KA24WWFHMO \
  | 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: b966092716c811989f5c5035cb58a763a7275cdb7717ed1ef92e3549d6f28fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "221dee9322edbb31be74a4e821ae830403db57a6c0c6c5f66cd7e4c7f720bf25",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-02T21:42:55Z",
    "title_canon_sha256": "8d75a9ab2c387259a05dc45676c97620631ad7b3a6b1e65af4504610d6bac122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01102",
    "kind": "arxiv",
    "version": 3
  }
}