Pith Number

pith:JUOTB4DR

pith:2013:JUOTB4DRXTYA3G4DNXNU7OPBMZ

not attested not anchored not stored refs pending

On Rystov's generalization of the \v{C}ern\'y Conjecture

Boaz Tsaban, Ciaran Mullan, Noam Lifshitz

arxiv:1306.5403 v1 · 2013-06-23 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JUOTB4DRXTYA3G4DNXNU7OPBMZ}

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	2026-05-18T03:20:08.241570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d1d30f071bcf00d9b836ddb4fb9e1664fa01ec8457efbde48cc3f37a85c178b

Aliases

arxiv: 1306.5403 · arxiv_version: 1306.5403v1 · doi: 10.48550/arxiv.1306.5403 · pith_short_12: JUOTB4DRXTYA · pith_short_16: JUOTB4DRXTYA3G4D · pith_short_8: JUOTB4DR

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/JUOTB4DRXTYA3G4DNXNU7OPBMZ \
  | 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: 4d1d30f071bcf00d9b836ddb4fb9e1664fa01ec8457efbde48cc3f37a85c178b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b874ab2df34f37fe690d128b685e95a012174795751abe4647375b69f37cbc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-23T13:41:00Z",
    "title_canon_sha256": "5b832dbdd02d35a7856c55fc0b8e9853b7953aed5f3568b391b7d8774c9019d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5403",
    "kind": "arxiv",
    "version": 1
  }
}