Pith Number

pith:O3SKAPCT

pith:2016:O3SKAPCTIHFO2S3EPCK2EQ7IZA

not attested not anchored not stored refs pending

Reverse mathematics of the finite downwards closed subsets of $\mathbb{N}^k$ ordered by inclusion and adjacent Ramsey for fixed dimension

Florian Pelupessy

arxiv:1610.00878 v4 · 2016-10-04 · 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{O3SKAPCTIHFO2S3EPCK2EQ7IZA}

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	2026-05-18T00:09:00.806880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76e4a03c5341caed4b647895a243e8c8029b00cbe5853f8de6d59d39b56a17a0

Aliases

arxiv: 1610.00878 · arxiv_version: 1610.00878v4 · doi: 10.48550/arxiv.1610.00878 · pith_short_12: O3SKAPCTIHFO · pith_short_16: O3SKAPCTIHFO2S3E · pith_short_8: O3SKAPCT

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/O3SKAPCTIHFO2S3EPCK2EQ7IZA \
  | 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: 76e4a03c5341caed4b647895a243e8c8029b00cbe5853f8de6d59d39b56a17a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9686effc9937c87976cb4e71311d257162a787873daf69f538e2aab4954203",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-04T07:33:31Z",
    "title_canon_sha256": "b8af8c6b690339e60e073d6729f0aee2d642071391bb4808bdb0f0a613573aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00878",
    "kind": "arxiv",
    "version": 4
  }
}