Pith Number

pith:GHMZVLE6

pith:2003:GHMZVLE6RJAR7RM7QRF5OXRPIS

not attested not anchored not stored refs pending

Representations of polygons of finite groups

Michael Kapovich

arxiv:math/0310001 v2 · 2003-09-30 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHMZVLE6RJAR7RM7QRF5OXRPIS}

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	2026-05-18T02:38:00.261544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d99aac9e8a411fc59f844bd75e2f448abc052bcf31789d4f88bca5a7041891

Aliases

arxiv: math/0310001 · arxiv_version: math/0310001v2 · doi: 10.48550/arxiv.math/0310001 · pith_short_12: GHMZVLE6RJAR · pith_short_16: GHMZVLE6RJAR7RM7 · pith_short_8: GHMZVLE6

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/GHMZVLE6RJAR7RM7QRF5OXRPIS \
  | 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: 31d99aac9e8a411fc59f844bd75e2f448abc052bcf31789d4f88bca5a7041891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de29d65ebf89451bc5988f0dc686a1d7d59cf5d914c8e70a1b2be63fa6f48f62",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-09-30T20:44:01Z",
    "title_canon_sha256": "b772e5a92054fdeac70731ee8789e1a3214a2b42ce098c33b20c34207316d3e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310001",
    "kind": "arxiv",
    "version": 2
  }
}