Pith Number

pith:5O6ZRE3K

pith:2010:5O6ZRE3K6NADGEMQNH5SNUEF2M

not attested not anchored not stored refs pending

Ramsey Theory for Words Representing Rationals

Andreas Koutsogiannis, Vassiliki Farmaki

arxiv:1011.0580 v1 · 2010-11-02 · 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{5O6ZRE3K6NADGEMQNH5SNUEF2M}

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	2026-05-18T04:37:21.308977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebbd98936af34033119069fb26d085d30cc2d4b779035d28508d7b3e141d9379

Aliases

arxiv: 1011.0580 · arxiv_version: 1011.0580v1 · doi: 10.48550/arxiv.1011.0580 · pith_short_12: 5O6ZRE3K6NAD · pith_short_16: 5O6ZRE3K6NADGEMQ · pith_short_8: 5O6ZRE3K

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/5O6ZRE3K6NADGEMQNH5SNUEF2M \
  | 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: ebbd98936af34033119069fb26d085d30cc2d4b779035d28508d7b3e141d9379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5854477afadadc22cb2af2b2917966ae354dd08845b4958f1d594d35f6c14fd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-02T11:42:15Z",
    "title_canon_sha256": "b496163eb9c5be1f439204fa2970b74dfb9266541e79b42de3f6335e6c5535bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0580",
    "kind": "arxiv",
    "version": 1
  }
}