Pith Number

pith:B5YMQ6RK

pith:2014:B5YMQ6RKKXX4YKYA3MYIK3FDPM

not attested not anchored not stored refs pending

Coxeter elements of the symmetric groups whose powers afford the longest

Masashi Kosuda

arxiv:1411.5761 v1 · 2014-11-21 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5YMQ6RKKXX4YKYA3MYIK3FDPM}

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	2026-05-18T02:33:07.147242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f70c87a2a55efcc2b00db30856ca37b116e68b37eeb4db0b4e991509ac3719e

Aliases

arxiv: 1411.5761 · arxiv_version: 1411.5761v1 · doi: 10.48550/arxiv.1411.5761 · pith_short_12: B5YMQ6RKKXX4 · pith_short_16: B5YMQ6RKKXX4YKYA · pith_short_8: B5YMQ6RK

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/B5YMQ6RKKXX4YKYA3MYIK3FDPM \
  | 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: 0f70c87a2a55efcc2b00db30856ca37b116e68b37eeb4db0b4e991509ac3719e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38df6cf358a4eb26b56c7eedab535a15fcc101cb745061876fddca3adb5b392",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-21T03:56:56Z",
    "title_canon_sha256": "93ce57a6ba3a668fbd2bfd2dcb7963ae9da224aa31dffae0a1738e69e90aa5b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5761",
    "kind": "arxiv",
    "version": 1
  }
}