Pith Number

pith:VXLCY4UQ

pith:2016:VXLCY4UQOAO5PWFK6ETT34DLGP

not attested not anchored not stored refs pending

Conjugacy growth series for wreath product finitary symmetric groups

Ian Wagner

arxiv:1612.03810 v1 · 2016-12-12 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXLCY4UQOAO5PWFK6ETT34DLGP}

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	2026-05-18T00:55:18.264252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add62c7290701dd7d8aaf1273df06b33cf4ca2165fef45f39bb2042a1e1299ca

Aliases

arxiv: 1612.03810 · arxiv_version: 1612.03810v1 · doi: 10.48550/arxiv.1612.03810 · pith_short_12: VXLCY4UQOAO5 · pith_short_16: VXLCY4UQOAO5PWFK · pith_short_8: VXLCY4UQ

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/VXLCY4UQOAO5PWFK6ETT34DLGP \
  | 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: add62c7290701dd7d8aaf1273df06b33cf4ca2165fef45f39bb2042a1e1299ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63faed971fab1c3ed43d5494a897862182033e3f1be6810125c4e4bb317c3adf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-12T17:46:52Z",
    "title_canon_sha256": "6425b147fb62e7261c8d4edba0339ab9eb4ab6f7a1cbc7429102dc6b1ede0322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03810",
    "kind": "arxiv",
    "version": 1
  }
}