Pith Number

pith:D5BA33B7

pith:2019:D5BA33B7XLFTOJHKGWHMSZA65P

not attested not anchored not stored refs pending

Conjugating automorphisms of graph products: Kazhdan's property (T) and SQ-universality

Anthony Genevois, Olga Varghese

arxiv:1904.03599 v1 · 2019-04-07 · 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{D5BA33B7XLFTOJHKGWHMSZA65P}

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	2026-05-17T23:49:12.840049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f420dec3fbacb3724ea358ec9641eebc0847a898ee5b3620ff9256880819fec

Aliases

arxiv: 1904.03599 · arxiv_version: 1904.03599v1 · doi: 10.48550/arxiv.1904.03599 · pith_short_12: D5BA33B7XLFT · pith_short_16: D5BA33B7XLFTOJHK · pith_short_8: D5BA33B7

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/D5BA33B7XLFTOJHKGWHMSZA65P \
  | 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: 1f420dec3fbacb3724ea358ec9641eebc0847a898ee5b3620ff9256880819fec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212f374f26454b41ad30ed4928e23b49c517120d3d3e11348c529186ffde92d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-07T07:36:49Z",
    "title_canon_sha256": "d0b37a8a350c7b50776e379d1667b0209ecfcea00ea6029bc4031fbbfa52f060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03599",
    "kind": "arxiv",
    "version": 1
  }
}