Pith Number

pith:KQGRFT6M

pith:2006:KQGRFT6MZZX77FUL2M5ITCAB4G

not attested not anchored not stored refs pending

Counting Reducible Matrices, Polynomials, and Surface and Free Group Automorphisms

Igor Rivin

arxiv:math/0604489 v2 · 2006-04-23 · math.NT · 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{KQGRFT6MZZX77FUL2M5ITCAB4G}

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	2026-05-18T01:05:22.732454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

540d12cfccce6fff968bd33a898801e1b8a9b3227c6d6eccaca959c7fb769f8d

Aliases

arxiv: math/0604489 · arxiv_version: math/0604489v2 · doi: 10.48550/arxiv.math/0604489 · pith_short_12: KQGRFT6MZZX7 · pith_short_16: KQGRFT6MZZX77FUL · pith_short_8: KQGRFT6M

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/KQGRFT6MZZX77FUL2M5ITCAB4G \
  | 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: 540d12cfccce6fff968bd33a898801e1b8a9b3227c6d6eccaca959c7fb769f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "addc3fa2ab01643c70270b694dd7a092d74666a536b4e65a3f164277197f1162",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-04-23T01:52:32Z",
    "title_canon_sha256": "2991315cb69b7e44efccd77fda9bfb3eb1a35b9831289c0a4d3f660597bad7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604489",
    "kind": "arxiv",
    "version": 2
  }
}