Pith Number

pith:T32S6TT5

pith:2013:T32S6TT55XQHLUQMIDRCXKG63K

not attested not anchored not stored refs pending

K-theory and exact sequences of partial translation algebras

Graham A. Niblo, Jacek Brodzki, Nick Wright

arxiv:1304.7130 v1 · 2013-04-26 · math.OA · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T32S6TT55XQHLUQMIDRCXKG63K}

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	2026-05-18T03:27:02.500313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ef52f4e7dede075d20c40e22ba8deda89cfc26e49bd2895618bceb776b380fd

Aliases

arxiv: 1304.7130 · arxiv_version: 1304.7130v1 · doi: 10.48550/arxiv.1304.7130 · pith_short_12: T32S6TT55XQH · pith_short_16: T32S6TT55XQHLUQM · pith_short_8: T32S6TT5

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/T32S6TT55XQHLUQMIDRCXKG63K \
  | 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: 9ef52f4e7dede075d20c40e22ba8deda89cfc26e49bd2895618bceb776b380fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34f7a247e02cdb2a2c6da5cf70e8b11b64afad9fc2e1fffc984c19cf0fdb0372",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-26T11:27:03Z",
    "title_canon_sha256": "4c8e706eb97598ebe46159cb492e4c83ee8d9aacb4a3a7ab3f227a192a6511f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7130",
    "kind": "arxiv",
    "version": 1
  }
}