Pith Number

pith:45UIWGMS

pith:2012:45UIWGMSO3PV4T5E2H4ZZZR4AX

not attested not anchored not stored refs pending

Central idempotents of the bifree and left-free double Burnside ring

Burkhard K\"ulshammer, Robert Boltje

arxiv:1208.2940 v2 · 2012-08-14 · math.RT · math.KT · 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{45UIWGMSO3PV4T5E2H4ZZZR4AX}

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	2026-05-18T03:05:35.812411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7688b199276df5e4fa4d1f99ce63c05d89896bbb161a7c327dad413a0f5f3c4

Aliases

arxiv: 1208.2940 · arxiv_version: 1208.2940v2 · doi: 10.48550/arxiv.1208.2940 · pith_short_12: 45UIWGMSO3PV · pith_short_16: 45UIWGMSO3PV4T5E · pith_short_8: 45UIWGMS

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/45UIWGMSO3PV4T5E2H4ZZZR4AX \
  | 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: e7688b199276df5e4fa4d1f99ce63c05d89896bbb161a7c327dad413a0f5f3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4e9f5d8e499cfea9ca8a52e993d1d330dc98fa876446bc977e28293e003b9c",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-14T18:45:15Z",
    "title_canon_sha256": "622e18dd4b8569aad91a6a5846d09ec3d2b907b81602d780f342598df95fa9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2940",
    "kind": "arxiv",
    "version": 2
  }
}