Pith Number

pith:WLJEGYL3

pith:2017:WLJEGYL3VSPYKUPHVN2MJYVNHM

not attested not anchored not stored refs pending

Smash products of group weighted bound quivers and Brauer graphs

Hideto Asashiba

arxiv:1709.09289 v3 · 2017-09-27 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLJEGYL3VSPYKUPHVN2MJYVNHM}

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	2026-05-18T00:10:11.301232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d243617bac9f8551e7ab74c4e2ad3b36edc9c16802ac73fe9ecdc234d5c368

Aliases

arxiv: 1709.09289 · arxiv_version: 1709.09289v3 · doi: 10.48550/arxiv.1709.09289 · pith_short_12: WLJEGYL3VSPY · pith_short_16: WLJEGYL3VSPYKUPH · pith_short_8: WLJEGYL3

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/WLJEGYL3VSPYKUPHVN2MJYVNHM \
  | 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: b2d243617bac9f8551e7ab74c4e2ad3b36edc9c16802ac73fe9ecdc234d5c368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a9fa19a317225a04d2680aaefa7d2ccad13c589ff2b2e6ad5148e6985623d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-27T00:10:41Z",
    "title_canon_sha256": "8adb9a6081bd373a1894b0867e9f320222f36d24abd5e5da56c41da0cffdf894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09289",
    "kind": "arxiv",
    "version": 3
  }
}