Pith Number

pith:NLQOGONS

pith:2014:NLQOGONSBF3TASM6PWNZINZOFI

not attested not anchored not stored refs pending

Waldhausen K-theory of spaces via comodules

Brooke Shipley, Kathryn Hess

arxiv:1402.4719 v3 · 2014-02-19 · math.AT · 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{NLQOGONSBF3TASM6PWNZINZOFI}

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	2026-05-18T01:23:26.604175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae0e339b2097730499e7d9b94372e2a24381065b0a6c1d8d203bd964f15af91

Aliases

arxiv: 1402.4719 · arxiv_version: 1402.4719v3 · doi: 10.48550/arxiv.1402.4719 · pith_short_12: NLQOGONSBF3T · pith_short_16: NLQOGONSBF3TASM6 · pith_short_8: NLQOGONS

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/NLQOGONSBF3TASM6PWNZINZOFI \
  | 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: 6ae0e339b2097730499e7d9b94372e2a24381065b0a6c1d8d203bd964f15af91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f15b332f037d1363b89c9d313c8e176f5d9687c52ff6be259d2fda6567cd17",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-02-19T16:27:56Z",
    "title_canon_sha256": "69f3b1d2e812250bbb5caba8ff304ebb614e674b465e1df331ff1f8dd1840ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4719",
    "kind": "arxiv",
    "version": 3
  }
}