Pith Number

pith:ISGBNDW3

pith:2017:ISGBNDW3S5D74MGSDHBFMDBTPI

not attested not anchored not stored refs pending

On groups all of whose Haar graphs are Cayley graphs

Da-Wei Yang, Istvan Kovacs, Yan-Quan Feng

arxiv:1707.03090 v1 · 2017-07-11 · math.CO · 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{ISGBNDW3S5D74MGSDHBFMDBTPI}

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	2026-05-18T00:40:34.349568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448c168edb9747fe30d219c2560c337a386da2940375a541c471625109c878a6

Aliases

arxiv: 1707.03090 · arxiv_version: 1707.03090v1 · doi: 10.48550/arxiv.1707.03090 · pith_short_12: ISGBNDW3S5D7 · pith_short_16: ISGBNDW3S5D74MGS · pith_short_8: ISGBNDW3

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/ISGBNDW3S5D74MGSDHBFMDBTPI \
  | 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: 448c168edb9747fe30d219c2560c337a386da2940375a541c471625109c878a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b076309dd6c9cfd19edb0d7c7c3f84e73abcbe8ff55e60a81eefea0f5a4096",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-11T00:45:04Z",
    "title_canon_sha256": "50c32d6a254922c92342f60c81ec3ad5715126fc582b2f594a0db070fa9af640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03090",
    "kind": "arxiv",
    "version": 1
  }
}