Pith Number

pith:XXE7C3MZ

pith:2010:XXE7C3MZQQHQOSUHCWH44YDEMR

not attested not anchored not stored refs pending

An explicit counterexample to the Lagarias-Wang finiteness conjecture

Ian D. Morris, Jacques Theys, Kevin G. Hare, Nikita Sidorov

arxiv:1006.2117 v2 · 2010-06-10 · math.OC · cs.DM · math.DS · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXE7C3MZQQHQOSUHCWH44YDEMR}

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	2026-05-18T04:03:43.677962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc9f16d99840f074a87158fce6064644551631b2aeb0a2ddc9ba4c999cef13e

Aliases

arxiv: 1006.2117 · arxiv_version: 1006.2117v2 · doi: 10.48550/arxiv.1006.2117 · pith_short_12: XXE7C3MZQQHQ · pith_short_16: XXE7C3MZQQHQOSUH · pith_short_8: XXE7C3MZ

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/XXE7C3MZQQHQOSUHCWH44YDEMR \
  | 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: bdc9f16d99840f074a87158fce6064644551631b2aeb0a2ddc9ba4c999cef13e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d630ef473f313d011275970a487411bf9328826d42dba0300bfae7cfdc0beade",
    "cross_cats_sorted": [
      "cs.DM",
      "math.DS",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-06-10T19:02:59Z",
    "title_canon_sha256": "1e9d3e0bf9b2e277d225227d2ef27f545228eaa2967b39071b401defb7b5d458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2117",
    "kind": "arxiv",
    "version": 2
  }
}