Pith Number

pith:EBWPK7CX

pith:2010:EBWPK7CXDOD6KHEADKWUGC7KML

not attested not anchored not stored refs pending

Discriminants and Jacobians of virtual reflection groups

Vivien Ripoll

arxiv:1001.4470 v3 · 2010-01-25 · math.GR · math.AC · 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{EBWPK7CXDOD6KHEADKWUGC7KML}

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	2026-05-18T04:32:43.645987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

206cf57c571b87e51c801aad430bea62d9345aaa00e7bce2bab0debfc1b104d1

Aliases

arxiv: 1001.4470 · arxiv_version: 1001.4470v3 · doi: 10.48550/arxiv.1001.4470 · pith_short_12: EBWPK7CXDOD6 · pith_short_16: EBWPK7CXDOD6KHEA · pith_short_8: EBWPK7CX

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/EBWPK7CXDOD6KHEADKWUGC7KML \
  | 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: 206cf57c571b87e51c801aad430bea62d9345aaa00e7bce2bab0debfc1b104d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f8fcfaef06862fda6e39af70128a770874501a038a3c97da4da700b45c7fddf",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-25T16:06:41Z",
    "title_canon_sha256": "f313217b26d07da31668f46b2af483ebf2dc02a75218fb5421ab7ae3a5adc2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4470",
    "kind": "arxiv",
    "version": 3
  }
}