Pith Number

pith:UMZ3DF66

pith:2016:UMZ3DF664FXTKE4QNMNOX4QOMK

not attested not anchored not stored refs pending

The asymptotic dimension of quotients by finite groups

Daniel Kasprowski

arxiv:1605.06453 v1 · 2016-05-14 · 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{UMZ3DF664FXTKE4QNMNOX4QOMK}

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	2026-05-18T00:36:47.964591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a333b197dee16f3513906b1aebf20e62ab5a37521fc1bc2a7eebcb0457b0418d

Aliases

arxiv: 1605.06453 · arxiv_version: 1605.06453v1 · doi: 10.48550/arxiv.1605.06453 · pith_short_12: UMZ3DF664FXT · pith_short_16: UMZ3DF664FXTKE4Q · pith_short_8: UMZ3DF66

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/UMZ3DF664FXTKE4QNMNOX4QOMK \
  | 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: a333b197dee16f3513906b1aebf20e62ab5a37521fc1bc2a7eebcb0457b0418d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6d4ffb0a6ef701a8c25ade7cd74472f6a1f87772ce2bb2e0795a2d8e373fab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-05-14T14:41:45Z",
    "title_canon_sha256": "abc75b4350318b442c2f0d167a49e77781284f7d63e346b0ed2cacf2926d44dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06453",
    "kind": "arxiv",
    "version": 1
  }
}