Pith Number

pith:C7UCQNU6

pith:2015:C7UCQNU67VI4MDEQ4Z3ITVIZJX

not attested not anchored not stored refs pending

Degree of commutativity of infinite groups

Armando Martino, Enric Ventura, Yago Antol\'in

arxiv:1511.07269 v1 · 2015-11-23 · 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{C7UCQNU67VI4MDEQ4Z3ITVIZJX}

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.

Cited by

1 paper in Pith

Asymptotic Burnside laws

Receipt and verification

First computed	2026-05-18T01:26:11.783830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17e828369efd51c60c90e67689d5194dd77a5e6588b44a6ac117de95d424213b

Aliases

arxiv: 1511.07269 · arxiv_version: 1511.07269v1 · doi: 10.48550/arxiv.1511.07269 · pith_short_12: C7UCQNU67VI4 · pith_short_16: C7UCQNU67VI4MDEQ · pith_short_8: C7UCQNU6

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/C7UCQNU67VI4MDEQ4Z3ITVIZJX \
  | 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: 17e828369efd51c60c90e67689d5194dd77a5e6588b44a6ac117de95d424213b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce7f90452b6697f5efac919ca0949d7cfa1f41d6a754587baa50975ed8238137",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-23T15:22:40Z",
    "title_canon_sha256": "49e84f263215bfb3604275fcccb1f3e52c8e6935d2a4a5425f7602e18d514afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07269",
    "kind": "arxiv",
    "version": 1
  }
}