Pith Number

pith:EMREAC4F

pith:2012:EMREAC4FKY4PX5URTPAGRHI3CK

not attested not anchored not stored refs pending

The K\"unneth Theorem in equivariant K-theory for actions of a cyclic group of order 2

Jonathan Rosenberg

arxiv:1208.6355 v1 · 2012-08-31 · math.KT · math.AT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMREAC4FKY4PX5URTPAGRHI3CK}

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	2026-05-18T02:41:42.985993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2322400b855638fbf6919bc0689d1b12a6e319cb3f462332acdb7bc257ea10b1

Aliases

arxiv: 1208.6355 · arxiv_version: 1208.6355v1 · doi: 10.48550/arxiv.1208.6355 · pith_short_12: EMREAC4FKY4P · pith_short_16: EMREAC4FKY4PX5UR · pith_short_8: EMREAC4F

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/EMREAC4FKY4PX5URTPAGRHI3CK \
  | 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: 2322400b855638fbf6919bc0689d1b12a6e319cb3f462332acdb7bc257ea10b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdac6b18d5e2e6d75d905ddf2ffeeb314576df3e1d79764179c9115bafdecc96",
    "cross_cats_sorted": [
      "math.AT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-08-31T02:53:38Z",
    "title_canon_sha256": "e2f3b668da3112eabf677c3e3435b9991c361b1c8f81197adf4d7d54f2a3b51b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6355",
    "kind": "arxiv",
    "version": 1
  }
}