Pith Number

pith:UHT75A2M

pith:2011:UHT75A2MWQJH6SOSYMCELMB2N3

not attested not anchored not stored refs pending

GGS-groups: order of congruence quotients and Hausdorff dimension

Amaia Zugadi-Reizabal, Gustavo A. Fern\'andez-Alcober

arxiv:1108.2289 v1 · 2011-08-10 · 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{UHT75A2MWQJH6SOSYMCELMB2N3}

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	2026-05-18T04:15:38.227653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e7fe834cb4127f49d2c30445b03a6ef2bf26d5c24515c8e819104d33443567

Aliases

arxiv: 1108.2289 · arxiv_version: 1108.2289v1 · doi: 10.48550/arxiv.1108.2289 · pith_short_12: UHT75A2MWQJH · pith_short_16: UHT75A2MWQJH6SOS · pith_short_8: UHT75A2M

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/UHT75A2MWQJH6SOSYMCELMB2N3 \
  | 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: a1e7fe834cb4127f49d2c30445b03a6ef2bf26d5c24515c8e819104d33443567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e8060641c74c46c7ec354a69c943a49029a75699cbc3007e410454182f39870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-10T20:59:59Z",
    "title_canon_sha256": "3d357fa1d19cadb704cd5c63f90e6203b93a1800ef48156b9980dcf4e127ca90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2289",
    "kind": "arxiv",
    "version": 1
  }
}