Pith Number

pith:643XSC4R

pith:2016:643XSC4RS6IEHTUTX2EX4NHDBN

not attested not anchored not stored refs pending

The structure theory of Nilspaces II: Representation as nilmanifolds

Freddie Manners, P\'eter P. Varj\'u, Yonatan Gutman

arxiv:1605.08948 v3 · 2016-05-28 · math.DS · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{643XSC4RS6IEHTUTX2EX4NHDBN}

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	2026-05-18T00:27:03.046156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f737790b91979043ce93be897e34e30b429a4e7627978b2a460dde78ce9e1955

Aliases

arxiv: 1605.08948 · arxiv_version: 1605.08948v3 · doi: 10.48550/arxiv.1605.08948 · pith_short_12: 643XSC4RS6IE · pith_short_16: 643XSC4RS6IEHTUT · pith_short_8: 643XSC4R

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/643XSC4RS6IEHTUTX2EX4NHDBN \
  | 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: f737790b91979043ce93be897e34e30b429a4e7627978b2a460dde78ce9e1955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7defab7b43efc1285b0ce8b5179aacf88494bf4d2178b17cf3dd7b5e7ed329e3",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-28T23:41:41Z",
    "title_canon_sha256": "6928e426d780fb536c50b6dd14f55780736b2c2898ede8214f604306b0962f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08948",
    "kind": "arxiv",
    "version": 3
  }
}