Pith Number

pith:6JBBWL2J

pith:2025:6JBBWL2JBOEHBVYLOC5BRGCSIF

not attested not anchored not stored refs pending

Equivariant $KK$-theory and model categories

Anupam Datta, Michael Joachim

arxiv:2506.16238 v1 · 2025-06-19 · math.KT · math.AT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JBBWL2JBOEHBVYLOC5BRGCSIF}

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	2026-07-05T11:24:54.228651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2421b2f490b8870d70b70ba18985241494a620aa7fcc03d6a025709ba88a68b

Aliases

arxiv: 2506.16238 · arxiv_version: 2506.16238v1 · doi: 10.48550/arxiv.2506.16238 · pith_short_12: 6JBBWL2JBOEH · pith_short_16: 6JBBWL2JBOEHBVYL · pith_short_8: 6JBBWL2J

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/6JBBWL2JBOEHBVYLOC5BRGCSIF \
  | 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: f2421b2f490b8870d70b70ba18985241494a620aa7fcc03d6a025709ba88a68b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5de48dbb3eb122af8a2cb985cc27b8af9b6aa4c8d03d87b74e2adcb9aeb640",
    "cross_cats_sorted": [
      "math.AT",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-06-19T11:48:38Z",
    "title_canon_sha256": "07f2bc28d8c903819f41265418eeceddca22f281ed23c41d0c6b00e2334e6e7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16238",
    "kind": "arxiv",
    "version": 1
  }
}