Pith Number

pith:2SDZAA64

pith:2024:2SDZAA64MLTPTRC24SSKQI2KBP

not attested not anchored not stored refs pending

Nowhere dense Ramsey sets

Marcelo Sales, Vojt\v{e}ch R\"odl

arxiv:2402.17137 v2 · 2024-02-27 · 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{2SDZAA64MLTPTRC24SSKQI2KBP}

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	2026-07-05T11:50:25.825935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4879003dc62e6f9c45ae4a4a8234a0be8eafa1fcd4d04f53a57a07b1be1f1c1

Aliases

arxiv: 2402.17137 · arxiv_version: 2402.17137v2 · doi: 10.48550/arxiv.2402.17137 · pith_short_12: 2SDZAA64MLTP · pith_short_16: 2SDZAA64MLTPTRC2 · pith_short_8: 2SDZAA64

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/2SDZAA64MLTPTRC24SSKQI2KBP \
  | 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: d4879003dc62e6f9c45ae4a4a8234a0be8eafa1fcd4d04f53a57a07b1be1f1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa2687b611cbb22f7de0c83de551ca66dbe272a90fe047c41416b8762a180cf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-02-27T02:00:44Z",
    "title_canon_sha256": "808def7825b37c3896b1eebee5b9e60fdfc3fe377200e9b722589e6d9b84292d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.17137",
    "kind": "arxiv",
    "version": 2
  }
}