Pith Number

pith:2KUJWMSQ

pith:2024:2KUJWMSQGGINLDRJPSAJ2QV3AH

not attested not anchored not stored refs pending

Chromatic Ramsey numbers and two-color Tur\'{a}n densities

Dingyuan Liu, Maria Axenovich, Simon Gaa

arxiv:2409.07535 v2 · 2024-09-11 · 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{2KUJWMSQGGINLDRJPSAJ2QV3AH}

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	2026-06-24T01:14:55.729349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a89b32503190d58e297c809d42bb01ca653683bd474f98bc476a93563cd1c3

Aliases

arxiv: 2409.07535 · arxiv_version: 2409.07535v2 · doi: 10.48550/arxiv.2409.07535 · pith_short_12: 2KUJWMSQGGIN · pith_short_16: 2KUJWMSQGGINLDRJ · pith_short_8: 2KUJWMSQ

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/2KUJWMSQGGINLDRJPSAJ2QV3AH \
  | 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: d2a89b32503190d58e297c809d42bb01ca653683bd474f98bc476a93563cd1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b9ec4e246fdd8127b7a16cc9c67367f975eeefd5993f892007d23b5ca34a991",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-11T18:00:27Z",
    "title_canon_sha256": "ecfd8b527ba6a7b870a04e368ff6ea75dc7b6b19b6329d1f3c0b761f44bbb959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07535",
    "kind": "arxiv",
    "version": 2
  }
}