Pith Number

pith:BM7ILCPA

pith:2004:BM7ILCPAOJYWFE3WLODAMKVHBW

not attested not anchored not stored refs pending

Noncommutative localisation in algebraic K-theory I

Amnon Neeman, Andrew Ranicki

arxiv:math/0410620 v1 · 2004-10-29 · math.RA · 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{BM7ILCPAOJYWFE3WLODAMKVHBW}

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	2026-05-18T02:37:59.897216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3e8589e072716293765b86062aa70d95f1611f7e3e0942156bc9be435d63b7

Aliases

arxiv: math/0410620 · arxiv_version: math/0410620v1 · doi: 10.48550/arxiv.math/0410620 · pith_short_12: BM7ILCPAOJYW · pith_short_16: BM7ILCPAOJYWFE3W · pith_short_8: BM7ILCPA

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/BM7ILCPAOJYWFE3WLODAMKVHBW \
  | 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: 0b3e8589e072716293765b86062aa70d95f1611f7e3e0942156bc9be435d63b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af5da4d396c919796316d6aec7b06fe40c84faf8ca7d574f75f8b73cb7ef392",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2004-10-29T13:51:04Z",
    "title_canon_sha256": "fd327f1bf9ce7e86a150d87769aa1336f431e7fcea750d602cfbbb74979de8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410620",
    "kind": "arxiv",
    "version": 1
  }
}