Pith Number

pith:MS4DC6S3

pith:2024:MS4DC6S36BLWYNVYNPUABGYPLZ

not attested not anchored not stored refs pending

Weak Waldhausen categories and a localization theorem

Amit Shah, Yasuaki Ogawa

arxiv:2406.18091 v2 · 2024-06-26 · math.KT · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MS4DC6S36BLWYNVYNPUABGYPLZ}

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.

Cited by

1 paper in Pith

Squares K-theory and 2-Segal spaces

Receipt and verification

First computed	2026-05-21T01:05:02.644704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b8317a5bf0576c36b86be8009b0f5e45e4feec9ae7cb426d1b47a13952e3ab

Aliases

arxiv: 2406.18091 · arxiv_version: 2406.18091v2 · doi: 10.48550/arxiv.2406.18091 · pith_short_12: MS4DC6S36BLW · pith_short_16: MS4DC6S36BLWYNVY · pith_short_8: MS4DC6S3

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/MS4DC6S36BLWYNVYNPUABGYPLZ \
  | 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: 64b8317a5bf0576c36b86be8009b0f5e45e4feec9ae7cb426d1b47a13952e3ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b2cfceb202df37cfe8f1671ba7b7b21db0a6f03684b92b7115c83dd8c666b6",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-06-26T05:59:08Z",
    "title_canon_sha256": "912422234508b379a5b97f5d113d7edb451656621d364c3f0b9baadbf3bad7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18091",
    "kind": "arxiv",
    "version": 2
  }
}