Pith Number

pith:6NLQYUE6

pith:2015:6NLQYUE6EY3AZJ3NXDSKSDFTAL

not attested not anchored not stored refs pending

Affine transformation with zero entropy and nilsystems

Zhengxing Lian

arxiv:1511.06374 v1 · 2015-11-19 · 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{6NLQYUE6EY3AZJ3NXDSKSDFTAL}

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	2026-05-18T01:26:24.581705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3570c509e26360ca76db8e4a90cb302ff2adaf3661b573bec54786259f9400f

Aliases

arxiv: 1511.06374 · arxiv_version: 1511.06374v1 · doi: 10.48550/arxiv.1511.06374 · pith_short_12: 6NLQYUE6EY3A · pith_short_16: 6NLQYUE6EY3AZJ3N · pith_short_8: 6NLQYUE6

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/6NLQYUE6EY3AZJ3NXDSKSDFTAL \
  | 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: f3570c509e26360ca76db8e4a90cb302ff2adaf3661b573bec54786259f9400f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cebde66ccf516613d75edbbae278046012e3e4c778d62454ab31767f48c4734",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-19T21:05:26Z",
    "title_canon_sha256": "4e3b95952d055c10c1f9815f19bedf73c69f3d4953c6a5f43166afe9b558c96a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06374",
    "kind": "arxiv",
    "version": 1
  }
}