Pith Number

pith:4RPRORWN

pith:2011:4RPRORWNGKI6AQ2EELCXLCSBEQ

not attested not anchored not stored refs pending

Borel's Conjecture in Topological Groups

Fred Galvin, Marion Scheepers

arxiv:1107.5383 v2 · 2011-07-27 · math.LO · math.GN · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RPRORWNGKI6AQ2EELCXLCSBEQ}

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	2026-05-18T03:51:47.303827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45f1746cd3291e0434422c5758a41243cda37a455c864e98c735653a6b4f1ee

Aliases

arxiv: 1107.5383 · arxiv_version: 1107.5383v2 · doi: 10.48550/arxiv.1107.5383 · pith_short_12: 4RPRORWNGKI6 · pith_short_16: 4RPRORWNGKI6AQ2E · pith_short_8: 4RPRORWN

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/4RPRORWNGKI6AQ2EELCXLCSBEQ \
  | 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: e45f1746cd3291e0434422c5758a41243cda37a455c864e98c735653a6b4f1ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61825c1012c523b70578f0556a3614ab990367fcc931e65930792f496ad38ab7",
    "cross_cats_sorted": [
      "math.GN",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-07-27T05:05:29Z",
    "title_canon_sha256": "3efc90f3f00166d1c4ea1bc6002babe377633ed8054309842e9c9a20367117d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5383",
    "kind": "arxiv",
    "version": 2
  }
}