Pith Number

pith:SWN4CTZI

pith:2005:SWN4CTZIUJMHC6ANCOO4JLA7IW

not attested not anchored not stored refs pending

A Solomon descent theory for the wreath products G ~ S_n

Christophe Hohlweg, Pierre Baumann

arxiv:math/0503011 v1 · 2005-03-01 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWN4CTZIUJMHC6ANCOO4JLA7IW}

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	2026-05-18T04:05:59.604788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959bc14f28a25871780d139dc4ac1f4588a785fdf977f6887b5be64d75b7bbdf

Aliases

arxiv: math/0503011 · arxiv_version: math/0503011v1 · doi: 10.48550/arxiv.math/0503011 · pith_short_12: SWN4CTZIUJMH · pith_short_16: SWN4CTZIUJMHC6AN · pith_short_8: SWN4CTZI

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/SWN4CTZIUJMHC6ANCOO4JLA7IW \
  | 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: 959bc14f28a25871780d139dc4ac1f4588a785fdf977f6887b5be64d75b7bbdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb11c08565947c69c5dee439684c5a615dfcfa866c1d138e3ff2e3604677db6",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-03-01T15:45:57Z",
    "title_canon_sha256": "cef3dd069b09d7791d15636a377e273d000bc4fcb6ca0b62b6ed94a858a1d8dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503011",
    "kind": "arxiv",
    "version": 1
  }
}