Pith Number

pith:CMQCV774

pith:2012:CMQCV774IA4OYRCMSDANTPUTS7

not attested not anchored not stored refs pending

Open and solved problems concerning polarized partition relations

Saharon Shelah, Shimon Garti

arxiv:1208.6091 v2 · 2012-08-30 · 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{CMQCV774IA4OYRCMSDANTPUTS7}

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	2026-05-18T01:11:13.873360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13202afffc4038ec444c90c0d9be9397d145a215503a5e46cea1fe5ac041c750

Aliases

arxiv: 1208.6091 · arxiv_version: 1208.6091v2 · doi: 10.48550/arxiv.1208.6091 · pith_short_12: CMQCV774IA4O · pith_short_16: CMQCV774IA4OYRCM · pith_short_8: CMQCV774

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/CMQCV774IA4OYRCMSDANTPUTS7 \
  | 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: 13202afffc4038ec444c90c0d9be9397d145a215503a5e46cea1fe5ac041c750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbb9665bd40dc90519292d7c643e3eaf343f3fa1c7cd2eb10f32e4a3a09932bd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-30T07:17:01Z",
    "title_canon_sha256": "926d496869d5897d51709f62e5c259a6d4e16b1d2068b6920e111ca9ff1b9dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6091",
    "kind": "arxiv",
    "version": 2
  }
}