Pith Number

pith:YWRHSEPP

pith:2019:YWRHSEPPLSS2HJ6EQC2MBPS45W

not attested not anchored not stored refs pending

Simple juntas for shifted families

Andrey Kupavskii, Peter Frankl

arxiv:1901.03816 v3 · 2019-01-12 · 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{YWRHSEPPLSS2HJ6EQC2MBPS45W}

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	2026-07-05T01:32:55.655130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a27911ef5ca5a3a7c480b4c0be5cedb5191caefdc43c4501f6b092bf8ead41

Aliases

arxiv: 1901.03816 · arxiv_version: 1901.03816v3 · doi: 10.48550/arxiv.1901.03816 · pith_short_12: YWRHSEPPLSS2 · pith_short_16: YWRHSEPPLSS2HJ6E · pith_short_8: YWRHSEPP

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/YWRHSEPPLSS2HJ6EQC2MBPS45W \
  | 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: c5a27911ef5ca5a3a7c480b4c0be5cedb5191caefdc43c4501f6b092bf8ead41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3685e68afbb506e6ba2ccb62eaefb8bf779561c4549c3b029ad380ec79719192",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-12T07:29:32Z",
    "title_canon_sha256": "c9c63998e898340ebc33d3cbab99ab4204d6773ef274e903f3a450f06fbf7c04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03816",
    "kind": "arxiv",
    "version": 3
  }
}