Pith Number

pith:5G4GPONT

pith:2012:5G4GPONTWRZTRO7EYP2FAX7ZV6

not attested not anchored not stored refs pending

Suborbits in Knaster's problem

Boris Bukh, Roman Karasev

arxiv:1212.5351 v3 · 2012-12-21 · math.FA · 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{5G4GPONTWRZTRO7EYP2FAX7ZV6}

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	2026-05-18T02:42:15.210850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b867b9b3b47338bbe4c3f4505ff9afaf0332cbe9236726647035c0fbaba094

Aliases

arxiv: 1212.5351 · arxiv_version: 1212.5351v3 · doi: 10.48550/arxiv.1212.5351 · pith_short_12: 5G4GPONTWRZT · pith_short_16: 5G4GPONTWRZTRO7E · pith_short_8: 5G4GPONT

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/5G4GPONTWRZTRO7EYP2FAX7ZV6 \
  | 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: e9b867b9b3b47338bbe4c3f4505ff9afaf0332cbe9236726647035c0fbaba094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba1d1d7ccaecb0ab83a8bd7e44efd23ac3e8cd9fbc7bcddb42613893e563e28",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-21T07:27:01Z",
    "title_canon_sha256": "b13f2fc6b2a62114018af646de7aee492fddef39f6c85d6c5741c9ccd6fdbe3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5351",
    "kind": "arxiv",
    "version": 3
  }
}