Pith Number

pith:QZOKE4HK

pith:2020:QZOKE4HK2QUV54GTPLDS7VSGQE

not attested not anchored not stored refs pending

Poincar\'e profiles of lamplighter diagonal products

Corentin Le Coz

arxiv:2007.04709 v2 · 2020-07-09 · 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{QZOKE4HK2QUV54GTPLDS7VSGQE}

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

Separation profiles of free products

Receipt and verification

First computed	2026-07-05T02:06:31.694947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865ca270ead4295ef0d37ac72fd64681105791811cfc89de002b84944d800eaa

Aliases

arxiv: 2007.04709 · arxiv_version: 2007.04709v2 · doi: 10.48550/arxiv.2007.04709 · pith_short_12: QZOKE4HK2QUV · pith_short_16: QZOKE4HK2QUV54GT · pith_short_8: QZOKE4HK

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/QZOKE4HK2QUV54GTPLDS7VSGQE \
  | 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: 865ca270ead4295ef0d37ac72fd64681105791811cfc89de002b84944d800eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d234b68fad2b7f8bbbf871c9bc072cead143054bf0b8319498b98f979049bf9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-07-09T11:13:48Z",
    "title_canon_sha256": "8b137a582d18612a31ed8c2eb9440fa5f03bdf01ea36ba04b6950fb6a7c025ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.04709",
    "kind": "arxiv",
    "version": 2
  }
}