Pith Number

pith:B5Z34SXG

pith:2013:B5Z34SXGJNXUZ6QZWEIG2T4557

not attested not anchored not stored refs pending

The graphic nature of the symmetric group

Andrew P. Turner, J.L. Brumbaugh, Luis Alberto Garcia, Madeleine Bulkow, Matt Michal, Stephan Ramon Garcia

arxiv:1305.4913 v2 · 2013-05-21 · math.NT · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5Z34SXGJNXUZ6QZWEIG2T4557}

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	2026-05-18T03:16:38.262207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f73be4ae64b6f4cfa19b1106d4f9defee79ced089c131e3a9f9a2f0a8123969

Aliases

arxiv: 1305.4913 · arxiv_version: 1305.4913v2 · doi: 10.48550/arxiv.1305.4913 · pith_short_12: B5Z34SXGJNXU · pith_short_16: B5Z34SXGJNXUZ6QZ · pith_short_8: B5Z34SXG

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/B5Z34SXGJNXUZ6QZWEIG2T4557 \
  | 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: 0f73be4ae64b6f4cfa19b1106d4f9defee79ced089c131e3a9f9a2f0a8123969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed1a32193eeaa0c0d46547627ff7a57030ce3136519846ef6c2e6aa336dd6e10",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-21T18:51:49Z",
    "title_canon_sha256": "67c49489092e0e3dfdee1d8d8ef5b05c9cd5045f64c3b9905c586fec0e391645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4913",
    "kind": "arxiv",
    "version": 2
  }
}