Pith Number

pith:NP572FZI

pith:2015:NP572FZIM546S5YU5EFE5HUAFD

not attested not anchored not stored refs pending

Twisting $L^2$-invariants with finite-dimensional representations

Wolfgang Lueck

arxiv:1510.00057 v4 · 2015-09-30 · 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{NP572FZIM546S5YU5EFE5HUAFD}

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	2026-05-18T00:47:59.315270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bfbfd17286779e97714e90a4e9e8028c0bda20c8f455b1eb2b87aaa9b9dd04f

Aliases

arxiv: 1510.00057 · arxiv_version: 1510.00057v4 · doi: 10.48550/arxiv.1510.00057 · pith_short_12: NP572FZIM546 · pith_short_16: NP572FZIM546S5YU · pith_short_8: NP572FZI

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/NP572FZIM546S5YU5EFE5HUAFD \
  | 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: 6bfbfd17286779e97714e90a4e9e8028c0bda20c8f455b1eb2b87aaa9b9dd04f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "143abc353655ed82f418dee42b0f7c6d74ff99256a3d42b1f9a296e107824031",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-30T22:24:00Z",
    "title_canon_sha256": "858d723148ad2f8ec98dea438b66a004bc1d778b95042a16ee2a8eeb180e8b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00057",
    "kind": "arxiv",
    "version": 4
  }
}