Pith Number

pith:DOG4ELVM

pith:2011:DOG4ELVM7ZQQBL66APZFPZTTRB

not attested not anchored not stored refs pending

Tukey types of ultrafilters

Natasha Dobrinen, Stevo Todorcevic

arxiv:1110.4153 v1 · 2011-10-19 · math.LO · 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{DOG4ELVM7ZQQBL66APZFPZTTRB}

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	2026-05-18T04:10:46.625662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8dc22eacfe6100afde03f257e673885540110e56e4ef7d2f76fa88dc49c6c4

Aliases

arxiv: 1110.4153 · arxiv_version: 1110.4153v1 · doi: 10.48550/arxiv.1110.4153 · pith_short_12: DOG4ELVM7ZQQ · pith_short_16: DOG4ELVM7ZQQBL66 · pith_short_8: DOG4ELVM

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/DOG4ELVM7ZQQBL66APZFPZTTRB \
  | 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: 1b8dc22eacfe6100afde03f257e673885540110e56e4ef7d2f76fa88dc49c6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6750d0fd5e0f7b0836f2e2c6f2235295926fce13e0fc49dd76d9e4982402982",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-19T01:20:36Z",
    "title_canon_sha256": "75bdeeedba92208788e2422b9fb745168d3c32239750817e8750c42a93bd7d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4153",
    "kind": "arxiv",
    "version": 1
  }
}