Pith Number

pith:T6XK6Q7N

pith:2015:T6XK6Q7NCJ4G5XT7LYHZ6ISDRU

not attested not anchored not stored refs pending

Multi-recurrence and van der Waerden systems

Dominik Kwietniak, Jian Li, Piotr Oprocha, Xiangdong Ye

arxiv:1501.01491 v3 · 2015-01-07 · math.DS · 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{T6XK6Q7NCJ4G5XT7LYHZ6ISDRU}

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	2026-05-18T00:54:04.856826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9faeaf43ed12786ede7f5e0f9f22438d3aa7d80a2496d1be588cac5e248fb950

Aliases

arxiv: 1501.01491 · arxiv_version: 1501.01491v3 · doi: 10.48550/arxiv.1501.01491 · pith_short_12: T6XK6Q7NCJ4G · pith_short_16: T6XK6Q7NCJ4G5XT7 · pith_short_8: T6XK6Q7N

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/T6XK6Q7NCJ4G5XT7LYHZ6ISDRU \
  | 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: 9faeaf43ed12786ede7f5e0f9f22438d3aa7d80a2496d1be588cac5e248fb950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106450766eef4ed37af589ec59ea1a0daa58d8c92a6bba42bc69209e478ca229",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-07T13:45:53Z",
    "title_canon_sha256": "54d2c2fbfb25454c2940ea99e8a93595f322324c3abf9f727658705b6c19c355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01491",
    "kind": "arxiv",
    "version": 3
  }
}