Pith Number

pith:SS3HLE2L

pith:2026:SS3HLE2LJXT52HDAOO4TU3DHB6

not attested not anchored not stored refs pending

Tensor Product $K$-theory is Rational Algebraic $K$-theory

Amartya Shekhar Dubey, Mattie Ji

arxiv:2606.11412 v1 · 2026-06-09 · 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{SS3HLE2LJXT52HDAOO4TU3DHB6}

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	2026-06-11T01:09:47.252805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b675934b4de7dd1c6073b93a6c670fb5957a1523ac2bf3b40f9c73974f3bac

Aliases

arxiv: 2606.11412 · arxiv_version: 2606.11412v1 · doi: 10.48550/arxiv.2606.11412 · pith_short_12: SS3HLE2LJXT5 · pith_short_16: SS3HLE2LJXT52HDA · pith_short_8: SS3HLE2L

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/SS3HLE2LJXT52HDAOO4TU3DHB6 \
  | 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: 94b675934b4de7dd1c6073b93a6c670fb5957a1523ac2bf3b40f9c73974f3bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0ffd3a60bac616c33db2c709aa8ddc3b3403c4b8df6dcadc547869c9f3c342",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-09T20:02:01Z",
    "title_canon_sha256": "c0d418f0e52a144103bd5268d6356cd256925e56c2465afb496bae6c6c528980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11412",
    "kind": "arxiv",
    "version": 1
  }
}