Pith Number

pith:ZJSJ5SMV

pith:2010:ZJSJ5SMVH4OGCHMF27NJMMZH4X

not attested not anchored not stored refs pending

On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups

David Rosenthal, Wolfgang Lueck

arxiv:1007.0845 v3 · 2010-07-06 · 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{ZJSJ5SMVH4OGCHMF27NJMMZH4X}

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	2026-05-18T03:55:37.682501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca649ec9953f1c611d85d7da963327e5f87e1161be01075f5643e8b42297ff71

Aliases

arxiv: 1007.0845 · arxiv_version: 1007.0845v3 · doi: 10.48550/arxiv.1007.0845 · pith_short_12: ZJSJ5SMVH4OG · pith_short_16: ZJSJ5SMVH4OGCHMF · pith_short_8: ZJSJ5SMV

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/ZJSJ5SMVH4OGCHMF27NJMMZH4X \
  | 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: ca649ec9953f1c611d85d7da963327e5f87e1161be01075f5643e8b42297ff71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "351156e6944bb288b61a7d4ff8e1bdaefcc94ccf3bd38822df0f25d2aeb4bb24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-07-06T09:45:13Z",
    "title_canon_sha256": "76ed87b358aaa03c451309119a8e9485e9c78d2b7107cb74860d0930e54e1b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0845",
    "kind": "arxiv",
    "version": 3
  }
}