Pith Number

pith:FPUP22GQ

pith:2012:FPUP22GQD3AIYGSMY4BTV5RFYO

not attested not anchored not stored refs pending

An efficient algorithm for the diameter of Cayley graphs generated by transposition trees

Ashwin Ganesan

arxiv:1202.5888 v3 · 2012-02-27 · cs.DM · cs.DS · 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{FPUP22GQD3AIYGSMY4BTV5RFYO}

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	2026-05-18T01:24:38.883672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be8fd68d01ec08c1a4cc7033af625c380762bec5742ceed809061c5c7468049

Aliases

arxiv: 1202.5888 · arxiv_version: 1202.5888v3 · doi: 10.48550/arxiv.1202.5888 · pith_short_12: FPUP22GQD3AI · pith_short_16: FPUP22GQD3AIYGSM · pith_short_8: FPUP22GQ

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/FPUP22GQD3AIYGSMY4BTV5RFYO \
  | 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: 2be8fd68d01ec08c1a4cc7033af625c380762bec5742ceed809061c5c7468049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de2f33ea6d622dba6931669d791089f8931ae375038a8160ec689d6fdd32635",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-02-27T11:01:58Z",
    "title_canon_sha256": "29ae86ccb1d9d963c6bd164afba246c25e33d68cc4c1062caa2e63846bc3a6bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5888",
    "kind": "arxiv",
    "version": 3
  }
}