Pith Number

pith:BYYH5R6I

pith:2005:BYYH5R6ISPU6QMXF423VHEZVCY

not attested not anchored not stored refs pending

Navigating in the Cayley graphs of SL_N(Z) and SL_N(F_p)

T. R. Riley

arxiv:math/0504091 v1 · 2005-04-06 · math.GR · 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{BYYH5R6ISPU6QMXF423VHEZVCY}

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	2026-05-18T04:42:22.449280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e307ec7c893e9e832e5e6b7539335160c9c9152b76944b779424b68c270e36d

Aliases

arxiv: math/0504091 · arxiv_version: math/0504091v1 · doi: 10.48550/arxiv.math/0504091 · pith_short_12: BYYH5R6ISPU6 · pith_short_16: BYYH5R6ISPU6QMXF · pith_short_8: BYYH5R6I

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/BYYH5R6ISPU6QMXF423VHEZVCY \
  | 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: 0e307ec7c893e9e832e5e6b7539335160c9c9152b76944b779424b68c270e36d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b2041b9e083559ecc766bb174148ccb7141372d1208e7698cb4a5da4695d0b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-04-06T04:23:35Z",
    "title_canon_sha256": "fb59e225d91b96140f10ed752a035cab2e71bb7e5c86142d1ad3f1426e965808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504091",
    "kind": "arxiv",
    "version": 1
  }
}