Pith Number

pith:YNTT5ZTA

pith:2017:YNTT5ZTA5ESYNGHQL2EZGHYREI

not attested not anchored not stored refs pending

Dynamical quasitilings of amenable group

Dawid Huczek, Tomasz Downarowicz

arxiv:1705.07365 v1 · 2017-05-20 · 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{YNTT5ZTA5ESYNGHQL2EZGHYREI}

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	2026-05-18T00:44:05.816168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3673ee660e9258698f05e89931f1122172435bbfd77cc99b7c26da22a0baf20

Aliases

arxiv: 1705.07365 · arxiv_version: 1705.07365v1 · doi: 10.48550/arxiv.1705.07365 · pith_short_12: YNTT5ZTA5ESY · pith_short_16: YNTT5ZTA5ESYNGHQ · pith_short_8: YNTT5ZTA

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/YNTT5ZTA5ESYNGHQL2EZGHYREI \
  | 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: c3673ee660e9258698f05e89931f1122172435bbfd77cc99b7c26da22a0baf20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b6a8ad7da81f2c1a4662503f7e4af7fb8c0cd5e079fdf376d70f2dc60a5bb40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-20T22:33:55Z",
    "title_canon_sha256": "72aa147e5095d3e312e58ec2dac9852a53ae9587162c3b70ddd5f715e6932b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07365",
    "kind": "arxiv",
    "version": 1
  }
}