Pith Number

pith:FSZL2UNM

pith:2017:FSZL2UNMJLMLUOCP6QFP6ZFTSM

not attested not anchored not stored refs pending

On the universal property of Waldhausen's K-theory

Wolfgang Steimle

arxiv:1703.01865 v1 · 2017-03-06 · math.KT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSZL2UNMJLMLUOCP6QFP6ZFTSM}

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	2026-05-18T00:49:29.458785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb2bd51ac4ad8ba384ff40aff64b3933546b015f600b257e971e6af17124f3e

Aliases

arxiv: 1703.01865 · arxiv_version: 1703.01865v1 · doi: 10.48550/arxiv.1703.01865 · pith_short_12: FSZL2UNMJLML · pith_short_16: FSZL2UNMJLMLUOCP · pith_short_8: FSZL2UNM

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/FSZL2UNMJLMLUOCP6QFP6ZFTSM \
  | 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: 2cb2bd51ac4ad8ba384ff40aff64b3933546b015f600b257e971e6af17124f3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e14b4831af14284f8881dcdaf08d074de766efacd94f761579c2ab02467c7ab",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-03-06T13:36:47Z",
    "title_canon_sha256": "c3f4476a8f274cbc275755a7a5bc4fc28856c495430d1e2bc39e0cf424059a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01865",
    "kind": "arxiv",
    "version": 1
  }
}