Pith Number

pith:Z7CZQUHO

pith:2018:Z7CZQUHONSK3RF7S7BAOOZWWCN

not attested not anchored not stored refs pending

Normal Hausdorff spectra of pro-2 groups

Anitha Thillaisundaram

arxiv:1812.01340 v1 · 2018-12-04 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7CZQUHONSK3RF7S7BAOOZWWCN}

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	2026-05-17T23:59:12.739869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc59850ee6c95b897f2f840e766d61363f5aff3798060b56fae4d6601e0aeec

Aliases

arxiv: 1812.01340 · arxiv_version: 1812.01340v1 · doi: 10.48550/arxiv.1812.01340 · pith_short_12: Z7CZQUHONSK3 · pith_short_16: Z7CZQUHONSK3RF7S · pith_short_8: Z7CZQUHO

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/Z7CZQUHONSK3RF7S7BAOOZWWCN \
  | 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: cfc59850ee6c95b897f2f840e766d61363f5aff3798060b56fae4d6601e0aeec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2b115df0ce9234e6f9284d9a148f6fa917170acbdab04faf366aa6d1aed5bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-12-04T11:13:47Z",
    "title_canon_sha256": "081e60d9a53497d34893afe7a70a2e9a1b35e9c1a157974e0bc82659bf52d408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01340",
    "kind": "arxiv",
    "version": 1
  }
}