Pith Number

pith:6BGSTGX6

pith:2019:6BGSTGX6FIB4GRFDE5SF7YCN5T

not attested not anchored not stored refs pending

Empirical approach to the x2, x3 conjecture

Dawid Huczek, Tomasz Downarowicz

arxiv:1901.01452 v1 · 2019-01-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BGSTGX6FIB4GRFDE5SF7YCN5T}

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	2026-05-17T23:56:51.998921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f04d299afe2a03c344a327645fe04dece18461aeda9282c556fdf9e574a4d01b

Aliases

arxiv: 1901.01452 · arxiv_version: 1901.01452v1 · doi: 10.48550/arxiv.1901.01452 · pith_short_12: 6BGSTGX6FIB4 · pith_short_16: 6BGSTGX6FIB4GRFD · pith_short_8: 6BGSTGX6

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/6BGSTGX6FIB4GRFDE5SF7YCN5T \
  | 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: f04d299afe2a03c344a327645fe04dece18461aeda9282c556fdf9e574a4d01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b58b41dc3fcb71bf960450e3d001ed53cc75124b1d1fc07792ae28eb4c33ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-05T18:21:49Z",
    "title_canon_sha256": "39443d2d4da6781fd6391eed0f65ef9d883bed9dd9c7d0138c960681aa4ff5d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01452",
    "kind": "arxiv",
    "version": 1
  }
}