Pith Number

pith:6KBIGNV7

pith:2017:6KBIGNV7IFTLBNRVO7VUD4GTHN

not attested not anchored not stored refs pending

Bricks over preprojective algebras and join-irreducible elements in Coxeter groups

Sota Asai

arxiv:1712.08311 v2 · 2017-12-22 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KBIGNV7IFTLBNRVO7VUD4GTHN}

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	2026-05-18T00:13:37.450991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2828336bf4166b0b63577eb41f0d33b761e95b456be79b4edbee94125f8f924

Aliases

arxiv: 1712.08311 · arxiv_version: 1712.08311v2 · doi: 10.48550/arxiv.1712.08311 · pith_short_12: 6KBIGNV7IFTL · pith_short_16: 6KBIGNV7IFTLBNRV · pith_short_8: 6KBIGNV7

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/6KBIGNV7IFTLBNRVO7VUD4GTHN \
  | 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: f2828336bf4166b0b63577eb41f0d33b761e95b456be79b4edbee94125f8f924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1040b8d4d85ae13634e1abe713befdb8ec0437898b13bf61119d41a954896c59",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-22T05:47:08Z",
    "title_canon_sha256": "6f4797d2f566ccf5c1883716cd7e3a5f09ff644eb82e173ababbf26f2e574f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08311",
    "kind": "arxiv",
    "version": 2
  }
}