Pith Number

pith:MG4JLHRT

pith:2012:MG4JLHRTICCFP26HOOTI232EI3

not attested not anchored not stored refs pending

A new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters

Natasha Dobrinen, Stevo Todorcevic

arxiv:1205.5909 v1 · 2012-05-26 · 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{MG4JLHRTICCFP26HOOTI232EI3}

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	2026-05-18T03:54:48.780360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b8959e33408457ebc773a68d6f4446f33540cade9666559f3d102c28ecca15

Aliases

arxiv: 1205.5909 · arxiv_version: 1205.5909v1 · doi: 10.48550/arxiv.1205.5909 · pith_short_12: MG4JLHRTICCF · pith_short_16: MG4JLHRTICCFP26H · pith_short_8: MG4JLHRT

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/MG4JLHRTICCFP26HOOTI232EI3 \
  | 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: 61b8959e33408457ebc773a68d6f4446f33540cade9666559f3d102c28ecca15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0379bf51508efcdd863586cb153e9acf05fbea7810527139b74538c2154fbc25",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-05-26T19:14:06Z",
    "title_canon_sha256": "9817d5fc1c1dce81e3555462d6e56afd81d6f79d6ff582ab0e55321a3b5c2f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5909",
    "kind": "arxiv",
    "version": 1
  }
}