Pith Number

pith:FEEUVERD

pith:2026:FEEUVERDCKV4PMYMPBK5IU3BP7

not attested not anchored not stored refs pending

An exact robust Ramsey theorem for matchings

Lanchao Wang, Mengyuan Niu

arxiv:2606.19851 v1 · 2026-06-18 · 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{FEEUVERDCKV4PMYMPBK5IU3BP7}

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	2026-06-19T16:12:36.956089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29094a922312abc7b30c7855d453617fd6fcfe4a6aac1eda49d4fe63d868f48b

Aliases

arxiv: 2606.19851 · arxiv_version: 2606.19851v1 · doi: 10.48550/arxiv.2606.19851 · pith_short_12: FEEUVERDCKV4 · pith_short_16: FEEUVERDCKV4PMYM · pith_short_8: FEEUVERD

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/FEEUVERDCKV4PMYMPBK5IU3BP7 \
  | 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: 29094a922312abc7b30c7855d453617fd6fcfe4a6aac1eda49d4fe63d868f48b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f547899b93d2c6241bbc86e3cc30963cd765ead72d388b7acb965147aecbe4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-18T07:00:39Z",
    "title_canon_sha256": "efd5b70213c05143e8a8ba7177bc53644a1ce5c365f541e9d2aa8f009de97959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19851",
    "kind": "arxiv",
    "version": 1
  }
}