Pith Number

pith:LZSZC57V

pith:2016:LZSZC57VEUGP7GIOF3LJ4TTCIS

not attested not anchored not stored refs pending

Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups

Taras Panov, Yakov Veryovkin

arxiv:1603.06902 v2 · 2016-03-22 · 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{LZSZC57VEUGP7GIOF3LJ4TTCIS}

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	2026-05-18T00:48:28.409449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e659177f5250cff990e2ed69e4e6244837b56b974246cc06cad3622d07f5d9a

Aliases

arxiv: 1603.06902 · arxiv_version: 1603.06902v2 · doi: 10.48550/arxiv.1603.06902 · pith_short_12: LZSZC57VEUGP · pith_short_16: LZSZC57VEUGP7GIO · pith_short_8: LZSZC57V

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/LZSZC57VEUGP7GIOF3LJ4TTCIS \
  | 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: 5e659177f5250cff990e2ed69e4e6244837b56b974246cc06cad3622d07f5d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a6c57b4482c3760c83f9d595d6c2dc8526bf69e1f40d6bcfb4bdff4a7dabfcd",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-22T18:45:05Z",
    "title_canon_sha256": "c508c278169d5ef7558f8d230e79f8a4fa641e39daf5d1f4a773f99503577edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06902",
    "kind": "arxiv",
    "version": 2
  }
}