Pith Number

pith:NO6M7DQE

pith:2019:NO6M7DQEUJUQZSEVLUJJHAUZE5

not attested not anchored not stored refs pending

Ramsey theory for monochromatically well-connected subsets

Jeffrey Bergfalk

arxiv:1902.10912 v1 · 2019-02-28 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NO6M7DQEUJUQZSEVLUJJHAUZE5}

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	2026-05-17T23:52:26.389285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bbccf8e04a2690cc8955d129382992772b6029380eb280b7867ddaa89a4217a

Aliases

arxiv: 1902.10912 · arxiv_version: 1902.10912v1 · doi: 10.48550/arxiv.1902.10912 · pith_short_12: NO6M7DQEUJUQ · pith_short_16: NO6M7DQEUJUQZSEV · pith_short_8: NO6M7DQE

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/NO6M7DQEUJUQZSEVLUJJHAUZE5 \
  | 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: 6bbccf8e04a2690cc8955d129382992772b6029380eb280b7867ddaa89a4217a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aff58ebb760f5653a26fbd91761575da167fefd2edcf08f4450f8e7885c02146",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-02-28T06:09:17Z",
    "title_canon_sha256": "c90abda0df21685bed6f2e65565c36f5fd1a7bcfb84bcff8b63edffeed4e585b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10912",
    "kind": "arxiv",
    "version": 1
  }
}