Pith Number

pith:YK4DNWMQ

pith:2015:YK4DNWMQ2BOETLEKHCVSH4B3OX

not attested not anchored not stored refs pending

On the Farrell-Jones Conjecture for algebraic K-theory of spaces: the Farrell-Hsiang method

Christoph Winges, Mark Ullmann

arxiv:1509.07363 v2 · 2015-09-24 · math.KT · math.AT · 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{YK4DNWMQ2BOETLEKHCVSH4B3OX}

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	2026-05-17T23:49:06.595722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b836d990d05c49ac8a38ab23f03b75dd160d3b199de74760f66605dc4aa97d

Aliases

arxiv: 1509.07363 · arxiv_version: 1509.07363v2 · doi: 10.48550/arxiv.1509.07363 · pith_short_12: YK4DNWMQ2BOE · pith_short_16: YK4DNWMQ2BOETLEK · pith_short_8: YK4DNWMQ

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/YK4DNWMQ2BOETLEKHCVSH4B3OX \
  | 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: c2b836d990d05c49ac8a38ab23f03b75dd160d3b199de74760f66605dc4aa97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef782bfe7404606caf00f6010da344d3a69284c5037de84ff5589679b9718e38",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-09-24T13:28:48Z",
    "title_canon_sha256": "f88a15e82170965da0c008500d0a94b500db56af8a5e38ceeebae32780d1f06d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07363",
    "kind": "arxiv",
    "version": 2
  }
}