Pith Number

pith:QC33IXTZ

pith:2011:QC33IXTZ6TSFIENA6THXYGVKIE

not attested not anchored not stored refs pending

Partial normalizations of Coxeter arrangements and discriminants

David Mond, Mathias Schulze, Michel Granger

arxiv:1108.0718 v3 · 2011-08-03 · math.AG · 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{QC33IXTZ6TSFIENA6THXYGVKIE}

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	2026-05-18T02:41:50.460254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b7b45e79f4e45411a0f4cf7c1aaa41286faf7382dec3d0420bf89f82052433

Aliases

arxiv: 1108.0718 · arxiv_version: 1108.0718v3 · doi: 10.48550/arxiv.1108.0718 · pith_short_12: QC33IXTZ6TSF · pith_short_16: QC33IXTZ6TSFIENA · pith_short_8: QC33IXTZ

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/QC33IXTZ6TSFIENA6THXYGVKIE \
  | 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: 80b7b45e79f4e45411a0f4cf7c1aaa41286faf7382dec3d0420bf89f82052433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad18c4f613d751e1de1bb53a2f60c13000c186d8a7ffb4da83e6de4f14145bc",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-03T00:30:13Z",
    "title_canon_sha256": "3814091c70c7e05af44b46c0c0dcb8e66c1e94d6b7df8735bab7b915cd8b0473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0718",
    "kind": "arxiv",
    "version": 3
  }
}