Pith Number

pith:J7POSTCL

pith:2011:J7POSTCLQQWU5VPL53B73DFNFL

not attested not anchored not stored refs pending

Infinite-step nilsystems, independence and complexity

A. Maass, P.D. Dong, S. Donoso, S. Shao, X.D. Ye

arxiv:1105.3584 v1 · 2011-05-18 · 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{J7POSTCLQQWU5VPL53B73DFNFL}

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	2026-05-18T04:21:52.317704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fdee94c4b842d4ed5ebeec3fd8cad2ac15754b393fea5c2186fd21934ba24b2

Aliases

arxiv: 1105.3584 · arxiv_version: 1105.3584v1 · doi: 10.48550/arxiv.1105.3584 · pith_short_12: J7POSTCLQQWU · pith_short_16: J7POSTCLQQWU5VPL · pith_short_8: J7POSTCL

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/J7POSTCLQQWU5VPL53B73DFNFL \
  | 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: 4fdee94c4b842d4ed5ebeec3fd8cad2ac15754b393fea5c2186fd21934ba24b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95d5f7eef26080724d733087f8a545462d24d152375262112b1a688fa0b8697f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-18T10:29:19Z",
    "title_canon_sha256": "6105f49a77f9bf4ad6bf7a0b632413db39ed7e7730a198a75578dd359892490a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3584",
    "kind": "arxiv",
    "version": 1
  }
}