Pith Number

pith:4DUI5HX2

pith:2011:4DUI5HX2JBUS7ACASEI7UKT5FU

not attested not anchored not stored refs pending

Borel Conjecture and Dual Borel Conjecture

Jakob Kellner, Martin Goldstern, Saharon Shelah, Wolfgang Wohofsky

arxiv:1105.0823 v4 · 2011-05-04 · 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{4DUI5HX2JBUS7ACASEI7UKT5FU}

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	2026-05-18T01:33:58.947674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0e88e9efa48692f80409111fa2a7d2d1408b6de341c290c35442f544ccdced5

Aliases

arxiv: 1105.0823 · arxiv_version: 1105.0823v4 · doi: 10.48550/arxiv.1105.0823 · pith_short_12: 4DUI5HX2JBUS · pith_short_16: 4DUI5HX2JBUS7ACA · pith_short_8: 4DUI5HX2

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/4DUI5HX2JBUS7ACASEI7UKT5FU \
  | 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: e0e88e9efa48692f80409111fa2a7d2d1408b6de341c290c35442f544ccdced5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b834a919e0029d86f5a6a5017474388bb37c08f2dcfe5f1109a018ce19e006d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-05-04T13:41:25Z",
    "title_canon_sha256": "be8976d61ab6c2412f910c3956a938c647d8403d9c28b51e4cae3561e1eeffb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0823",
    "kind": "arxiv",
    "version": 4
  }
}