Pith Number

pith:7NZNU34B

pith:2016:7NZNU34BZDWVLWLIJELRSGCTNR

not attested not anchored not stored refs pending

The structure theory of Nilspaces I

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

arxiv:1605.08945 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{7NZNU34BZDWVLWLIJELRSGCTNR}

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	2026-05-18T00:16:45.825424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb72da6f81c8ed55d96849171918536c7335e71034b84bbb2038107b92475b91

Aliases

arxiv: 1605.08945 · arxiv_version: 1605.08945v3 · doi: 10.48550/arxiv.1605.08945 · pith_short_12: 7NZNU34BZDWV · pith_short_16: 7NZNU34BZDWVLWLI · pith_short_8: 7NZNU34B

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/7NZNU34BZDWVLWLIJELRSGCTNR \
  | 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: fb72da6f81c8ed55d96849171918536c7335e71034b84bbb2038107b92475b91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7fd27afeb56cd627a72a62115ff3a03a6a5457c6988d06ad53954f555e9bcab",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-28T22:57:40Z",
    "title_canon_sha256": "bf95be166862577991efcd0b784f0d22e2bbb4ed0d65be17bab65b4073de6db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08945",
    "kind": "arxiv",
    "version": 3
  }
}