Pith Number

pith:I2KW4JFK

pith:2011:I2KW4JFKKPJXHB63JZNLVEW7RH

not attested not anchored not stored refs pending

A Ramsey-Classification Theorem and its Application in the Tukey Theory of Ultrafilters

Natasha Dobrinen, Stevo Todorcevic

arxiv:1111.6705 v2 · 2011-11-29 · math.LO · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2KW4JFKKPJXHB63JZNLVEW7RH}

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	2026-05-18T03:58:26.247022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46956e24aa53d37387db4e5aba92df89edd3d9ef9d163fd0fc08d3a31cfb779a

Aliases

arxiv: 1111.6705 · arxiv_version: 1111.6705v2 · doi: 10.48550/arxiv.1111.6705 · pith_short_12: I2KW4JFKKPJX · pith_short_16: I2KW4JFKKPJXHB63 · pith_short_8: I2KW4JFK

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/I2KW4JFKKPJXHB63JZNLVEW7RH \
  | 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: 46956e24aa53d37387db4e5aba92df89edd3d9ef9d163fd0fc08d3a31cfb779a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc819176e9235cde593b0481278b5a89f0ffe87137e4b5e6a557b46fc36c9b3d",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-11-29T06:23:43Z",
    "title_canon_sha256": "911b17bb1282110b73b225d2415ac0f7e050e31c728a8c020d955c9c24823b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6705",
    "kind": "arxiv",
    "version": 2
  }
}