Pith Number

pith:KSQOEETE

pith:2006:KSQOEETE7TAPOZNOZVAEY4MQRK

not attested not anchored not stored refs pending

On the fusion procedure for the symmetric group

A. I. Molev

arxiv:math/0612207 v5 · 2006-12-08 · math.RT · 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{KSQOEETE7TAPOZNOZVAEY4MQRK}

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	2026-05-18T01:38:23.478494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54a0e21264fcc0f765aecd404c71908a85f70ca7e721fd581f9cf66dc5ec0dc0

Aliases

arxiv: math/0612207 · arxiv_version: math/0612207v5 · doi: 10.48550/arxiv.math/0612207 · pith_short_12: KSQOEETE7TAP · pith_short_16: KSQOEETE7TAPOZNO · pith_short_8: KSQOEETE

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/KSQOEETE7TAPOZNOZVAEY4MQRK \
  | 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: 54a0e21264fcc0f765aecd404c71908a85f70ca7e721fd581f9cf66dc5ec0dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d87852de65aa51b689b3fe93c6ab717131b238ba39934f0491b669975c9be07",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-12-08T06:17:02Z",
    "title_canon_sha256": "986497f2f9b8ab021408c1d6d3a7aabe84a5b3ae84b17b4d633a4a23d78aa90b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612207",
    "kind": "arxiv",
    "version": 5
  }
}