Pith Number

pith:YBBJOOYN

pith:2012:YBBJOOYNWQIK5KSJUU5NNOLOLE

not attested not anchored not stored refs pending

Complexity of Nilsystems and systems lacking nilfactors

Alejandro Maass, Bernard Host, Bryna Kra

arxiv:1203.3778 v2 · 2012-03-16 · 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{YBBJOOYNWQIK5KSJUU5NNOLOLE}

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	2026-05-18T03:55:46.380296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c042973b0db410aeaa49a53ad6b96e5914779ac26a33611de2625d848491e665

Aliases

arxiv: 1203.3778 · arxiv_version: 1203.3778v2 · doi: 10.48550/arxiv.1203.3778 · pith_short_12: YBBJOOYNWQIK · pith_short_16: YBBJOOYNWQIK5KSJ · pith_short_8: YBBJOOYN

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/YBBJOOYNWQIK5KSJUU5NNOLOLE \
  | 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: c042973b0db410aeaa49a53ad6b96e5914779ac26a33611de2625d848491e665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdbee4f9298c9f693444375d592c71b18a3dbae0f8c37dcaf134ed4e87113485",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-16T18:36:33Z",
    "title_canon_sha256": "7be63384cac045bb6b92707d432e2d8e4c35032834969f24684789a80c420185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3778",
    "kind": "arxiv",
    "version": 2
  }
}