Pith Number

pith:CGDSAOFH

pith:2017:CGDSAOFHPXF3ZEUCQJLWZTLLMK

not attested not anchored not stored refs pending

A Dual Ramsey Theorem for Permutations

Dragan Masulovic

arxiv:1702.06596 v4 · 2017-02-21 · 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{CGDSAOFHPXF3ZEUCQJLWZTLLMK}

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	2026-05-18T00:31:51.449538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11872038a77dcbbc928282576ccd6b629b6a1d935eff81e5d4c9c63a90650582

Aliases

arxiv: 1702.06596 · arxiv_version: 1702.06596v4 · doi: 10.48550/arxiv.1702.06596 · pith_short_12: CGDSAOFHPXF3 · pith_short_16: CGDSAOFHPXF3ZEUC · pith_short_8: CGDSAOFH

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/CGDSAOFHPXF3ZEUCQJLWZTLLMK \
  | 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: 11872038a77dcbbc928282576ccd6b629b6a1d935eff81e5d4c9c63a90650582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3390f91c11e0248c4a07186cd4883037c1eb9b86b567dd70d423c4ea58427dfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-21T21:38:40Z",
    "title_canon_sha256": "71870af2f5a27a91e040e8a32c52ffd98a8dc2415bd52c1d3931412b562ef0f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06596",
    "kind": "arxiv",
    "version": 4
  }
}