Pith Number

pith:R7S7IT5I

pith:2010:R7S7IT5IABJBL5NBJO2Q4MYSGK

not attested not anchored not stored refs pending

Partition theorems from creatures and idempotent ultrafilters

Andrzej Roslanowski, Saharon Shelah

arxiv:1005.2803 v2 · 2010-05-17 · math.LO · 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{R7S7IT5IABJBL5NBJO2Q4MYSGK}

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	2026-05-18T02:23:59.460959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe5f44fa8005215f5a14bb50e3312328e2fc268ce82f7da9187a4313c426e5b

Aliases

arxiv: 1005.2803 · arxiv_version: 1005.2803v2 · doi: 10.48550/arxiv.1005.2803 · pith_short_12: R7S7IT5IABJB · pith_short_16: R7S7IT5IABJBL5NB · pith_short_8: R7S7IT5I

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/R7S7IT5IABJBL5NBJO2Q4MYSGK \
  | 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: 8fe5f44fa8005215f5a14bb50e3312328e2fc268ce82f7da9187a4313c426e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4217803368553508ebcab6958c7f366bfcd5dd2a2fa67ec09dc4fa555392c95a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-05-17T03:08:06Z",
    "title_canon_sha256": "c59efe8cb09d38cbda6ba184b113a8644a996f5a7e6c71efb2cf4f7725652762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2803",
    "kind": "arxiv",
    "version": 2
  }
}