Pith Number

pith:24SS37EY

pith:2012:24SS37EYUWHK3CVGQIMERKUVEB

not attested not anchored not stored refs pending

The lower algebraic $K$-theory of virtually cyclic subgroups of the braid groups of the sphere and of $\mathbb{Z}[B\_4(\mathbb{S}^2)]$

CNRS), Daniel Juan-Pineda (CCM), John Guaschi (LMNO, NU, Silvia Mill\'an-L\'opez, UNICAEN

arxiv:1209.4791 v2 · 2012-09-21 · math.KT · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24SS37EYUWHK3CVGQIMERKUVEB}

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	2026-05-18T00:12:01.385753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7252dfc98a58ead8aa6821848aa95206431ebaaadda3d18b080086a5d0b3d84

Aliases

arxiv: 1209.4791 · arxiv_version: 1209.4791v2 · doi: 10.48550/arxiv.1209.4791 · pith_short_12: 24SS37EYUWHK · pith_short_16: 24SS37EYUWHK3CVG · pith_short_8: 24SS37EY

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/24SS37EYUWHK3CVGQIMERKUVEB \
  | 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: d7252dfc98a58ead8aa6821848aa95206431ebaaadda3d18b080086a5d0b3d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f56547633e4bdfac4a6393968a245c6b795d5780262185428c259f4de723e31",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-09-21T11:46:07Z",
    "title_canon_sha256": "5f743e953deb95407166fe1f9a5c8a4b3ee0dc065001aa6547926cdfe40a231e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4791",
    "kind": "arxiv",
    "version": 2
  }
}