Pith Number

pith:Q3RIURJD

pith:2016:Q3RIURJDB4ZGR5RWY3R5GBA2F6

not attested not anchored not stored refs pending

The Isomorphism Conjecture for solvable groups in Waldhausen's A-theory

F. Thomas Farrell, Xiaolei Wu

arxiv:1611.00072 v3 · 2016-10-31 · 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{Q3RIURJDB4ZGR5RWY3R5GBA2F6}

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	2026-05-18T00:33:27.773543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86e28a45230f3268f636c6e3d3041a2f8ee5bca6831ed3dd5f30b7ee47234745

Aliases

arxiv: 1611.00072 · arxiv_version: 1611.00072v3 · doi: 10.48550/arxiv.1611.00072 · pith_short_12: Q3RIURJDB4ZG · pith_short_16: Q3RIURJDB4ZGR5RW · pith_short_8: Q3RIURJD

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/Q3RIURJDB4ZGR5RWY3R5GBA2F6 \
  | 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: 86e28a45230f3268f636c6e3d3041a2f8ee5bca6831ed3dd5f30b7ee47234745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ae85d714b40d11e7ca06142481abcc3cc018c1cb6ba89ffd3b94d0f730020cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-10-31T22:55:45Z",
    "title_canon_sha256": "d337e5e5d0b7d73ff75ef943247d530576dc397811e98480fb7754f27ab94a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00072",
    "kind": "arxiv",
    "version": 3
  }
}