Pith Number

pith:PCZZ4OS7

pith:2019:PCZZ4OS75USHYDD2SSWL7S2HPT

not attested not anchored not stored refs pending

Covering groups of minimal exponent

Nicola Sambonet

arxiv:1908.06823 v2 · 2019-08-19 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCZZ4OS75USHYDD2SSWL7S2HPT}

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	2026-07-05T03:38:11.247056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b39e3a5fed247c0c7a94acbfcb477cdcb41090488f158bb855d44159ff8ded

Aliases

arxiv: 1908.06823 · arxiv_version: 1908.06823v2 · doi: 10.48550/arxiv.1908.06823 · pith_short_12: PCZZ4OS75USH · pith_short_16: PCZZ4OS75USHYDD2 · pith_short_8: PCZZ4OS7

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/PCZZ4OS75USHYDD2SSWL7S2HPT \
  | 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: 78b39e3a5fed247c0c7a94acbfcb477cdcb41090488f158bb855d44159ff8ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21ec315753d1176b9538eee3b4e9cf9996c310099e4b4185f834dcc26752071",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-19T14:19:18Z",
    "title_canon_sha256": "abe6c5364fe20d76993828bd00bec2da1bc8bbaae6a5340e4dea37f3e6e802e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06823",
    "kind": "arxiv",
    "version": 2
  }
}