Pith Number

pith:272E2CFK

pith:2018:272E2CFKO5G3Z3E2LPFRYYA4MO

not attested not anchored not stored refs pending

Product of two staircase rank one transformations that is not loosely Bernoulli

Adam Kanigowski, Thierry de la Rue (LMRS)

arxiv:1812.08027 v1 · 2018-12-19 · 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{272E2CFKO5G3Z3E2LPFRYYA4MO}

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	2026-05-17T23:57:55.124808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f44d08aa774dbcec9a5bcb1c601c63a243aec53ac9dfdb6b53eee718d3d6c6

Aliases

arxiv: 1812.08027 · arxiv_version: 1812.08027v1 · doi: 10.48550/arxiv.1812.08027 · pith_short_12: 272E2CFKO5G3 · pith_short_16: 272E2CFKO5G3Z3E2 · pith_short_8: 272E2CFK

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/272E2CFKO5G3Z3E2LPFRYYA4MO \
  | 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: d7f44d08aa774dbcec9a5bcb1c601c63a243aec53ac9dfdb6b53eee718d3d6c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f90dbeb5ece016c13154ea5162eec59383138f528d03948a2d2658547ef64b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-19T15:37:46Z",
    "title_canon_sha256": "05dba94999046f175f6fb873e1c54323d2d7c718e4bc7dd34ef156b4345a928d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08027",
    "kind": "arxiv",
    "version": 1
  }
}