Pith Number

pith:KHOHF4EE

pith:2021:KHOHF4EE5ENEXX2P2KUARPMPUV

not attested not anchored not stored refs pending

A note on the induced Ramsey theorem for spaces

Bryce Frederickson, Marcelo Sales, Vojtech R\"odl

arxiv:2112.13275 v2 · 2021-12-25 · 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{KHOHF4EE5ENEXX2P2KUARPMPUV}

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	2026-07-05T08:34:00.240824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51dc72f084e91a4bdf4fd2a808bd8fa544d48d071caa2e67b6cfe4b59e35bd96

Aliases

arxiv: 2112.13275 · arxiv_version: 2112.13275v2 · doi: 10.48550/arxiv.2112.13275 · pith_short_12: KHOHF4EE5ENE · pith_short_16: KHOHF4EE5ENEXX2P · pith_short_8: KHOHF4EE

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/KHOHF4EE5ENEXX2P2KUARPMPUV \
  | 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: 51dc72f084e91a4bdf4fd2a808bd8fa544d48d071caa2e67b6cfe4b59e35bd96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d24218a2853d3ec407de39795975169f529c4695b1a50900fc6fd40e09be3c9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-25T19:47:54Z",
    "title_canon_sha256": "f80e4a7a1880f42fe7d09a540cc921583ae611eb7aa564fdb41e58df229e1124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13275",
    "kind": "arxiv",
    "version": 2
  }
}