Pith Number

pith:G3JNHIQ5

pith:2026:G3JNHIQ5JQLPJB63ESLJ6LMH62

not attested not anchored not stored refs pending

Word maps and surface relations in symmetric groups

Ewan Cassidy

arxiv:2608.02210 v1 · 2026-08-03 · math.GR · math.GT · 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{G3JNHIQ5JQLPJB63ESLJ6LMH62}

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	2026-08-04T02:11:24.943527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d2d3a21d4c16f487db24969f2d87f6ae97388901e81555bbc4e039d9d67233

Aliases

arxiv: 2608.02210 · arxiv_version: 2608.02210v1 · doi: 10.48550/arxiv.2608.02210 · pith_short_12: G3JNHIQ5JQLP · pith_short_16: G3JNHIQ5JQLPJB63 · pith_short_8: G3JNHIQ5

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/G3JNHIQ5JQLPJB63ESLJ6LMH62 \
  | 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: 36d2d3a21d4c16f487db24969f2d87f6ae97388901e81555bbc4e039d9d67233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c28c2174203173ad4f2b5c5be2352a0c59da4bac2445841aeca730408bd33ebd",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-03T13:33:45Z",
    "title_canon_sha256": "8a1ab757dd54d3c959d593251be73343d0331388572b5b6159466b1f1a7091e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02210",
    "kind": "arxiv",
    "version": 1
  }
}