Pith Number

pith:SXJYYCYM

pith:2011:SXJYYCYMPRFKVGYM7IJYCUUBH5

not attested not anchored not stored refs pending

An overview of the proof in "Borel Conjecture and Dual Borel Conjecture"

Jakob Kellner, Martin Goldstern, Saharon Shelah, Wolfgang Wohofsky

arxiv:1112.4424 v1 · 2011-12-19 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXJYYCYMPRFKVGYM7IJYCUUBH5}

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	2026-05-18T04:06:06.484444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95d38c0b0c7c4aaa9b0cfa138152813f4e20e5dd5c71485ef9f61fdbfa0e7c3a

Aliases

arxiv: 1112.4424 · arxiv_version: 1112.4424v1 · doi: 10.48550/arxiv.1112.4424 · pith_short_12: SXJYYCYMPRFK · pith_short_16: SXJYYCYMPRFKVGYM · pith_short_8: SXJYYCYM

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/SXJYYCYMPRFKVGYM7IJYCUUBH5 \
  | 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: 95d38c0b0c7c4aaa9b0cfa138152813f4e20e5dd5c71485ef9f61fdbfa0e7c3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42c704b3581fddcb8e566498506212a62747d2168f8acceb8be5cdf3ea63fe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-19T18:04:04Z",
    "title_canon_sha256": "671281cbfb7f9989c8ab58a0b6ee1b7bab2da5b90732862bac89107a0647aa71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4424",
    "kind": "arxiv",
    "version": 1
  }
}