Pith Number

pith:4VGY2D5N

pith:2012:4VGY2D5NW7D3I5C7FXQOMQHEAV

not attested not anchored not stored refs pending

Comparing Codimension and Absolute Length in Complex Reflection Groups

Briana Foster-Greenwood

arxiv:1202.0266 v1 · 2012-02-01 · math.CO · math.AC · math.RA · 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{4VGY2D5NW7D3I5C7FXQOMQHEAV}

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	2026-05-18T04:03:19.785821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54d8d0fadb7c7b4745f2de0e640e40574c13656543fd4d9dde1cabf085ccdaa

Aliases

arxiv: 1202.0266 · arxiv_version: 1202.0266v1 · doi: 10.48550/arxiv.1202.0266 · pith_short_12: 4VGY2D5NW7D3 · pith_short_16: 4VGY2D5NW7D3I5C7 · pith_short_8: 4VGY2D5N

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/4VGY2D5NW7D3I5C7FXQOMQHEAV \
  | 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: e54d8d0fadb7c7b4745f2de0e640e40574c13656543fd4d9dde1cabf085ccdaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "877201aa6549377f9f2a4d5d5bcb8231d5ab626c63f80ea34a5d446af62d2fe2",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-01T20:28:27Z",
    "title_canon_sha256": "4e8122e26bf73b4a4af55c539855c5b390c9bc5cee54aa1adf9e17ef9e857352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0266",
    "kind": "arxiv",
    "version": 1
  }
}