Pith Number

pith:U5XTOYSY

pith:2016:U5XTOYSY47KMX2VAABFPZVNUQS

not attested not anchored not stored refs pending

Localization, Whitehead groups, and the Atiyah Conjecture

Peter Linnell, Wolfgang L\"uck

arxiv:1602.06906 v3 · 2016-02-22 · 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{U5XTOYSY47KMX2VAABFPZVNUQS}

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	2026-05-18T00:20:59.714733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76f376258e7d4cbeaa0004afcd5b48486d13fb083b198321839d50acad03163

Aliases

arxiv: 1602.06906 · arxiv_version: 1602.06906v3 · doi: 10.48550/arxiv.1602.06906 · pith_short_12: U5XTOYSY47KM · pith_short_16: U5XTOYSY47KMX2VA · pith_short_8: U5XTOYSY

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/U5XTOYSY47KMX2VAABFPZVNUQS \
  | 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: a76f376258e7d4cbeaa0004afcd5b48486d13fb083b198321839d50acad03163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6090c47e8499b034cc9fcc8d42000c7c3d17dcf628aa5b2921c8be9d255ba0d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-02-22T19:42:48Z",
    "title_canon_sha256": "718c475b7df29c9a21bfb1f41e01d944fffbf2928b49fd08a9e5a9cb5941b2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06906",
    "kind": "arxiv",
    "version": 3
  }
}