Pith. sign in
Pith Number

pith:ABIPRWWF

pith:2023:ABIPRWWFGJOIE6VIOYNQXFM4N7
not attested not anchored not stored refs pending

Construction of the motivic cellular spectrum $\mathbf{KO}^{geo}$ over $Spec(\mathbb{Z})$

K. Arun Kumar

arxiv:2303.02397 v2 · 2023-03-04 · math.AG · math.AT · math.KT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ABIPRWWFGJOIE6VIOYNQXFM4N7}

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 2026-07-05T08:16:40.158065Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0050f8dac5325c827aa8761b0b959c6fc2af9f9b2f142b5784f3107b40497f40

Aliases

arxiv: 2303.02397 · arxiv_version: 2303.02397v2 · doi: 10.48550/arxiv.2303.02397 · pith_short_12: ABIPRWWFGJOI · pith_short_16: ABIPRWWFGJOIE6VI · pith_short_8: ABIPRWWF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ABIPRWWFGJOIE6VIOYNQXFM4N7 \
  | 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: 0050f8dac5325c827aa8761b0b959c6fc2af9f9b2f142b5784f3107b40497f40
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "482c8eb58782acd7a07ead1497e14c528f87c871f76cb1db538266170045d866",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-03-04T12:15:48Z",
    "title_canon_sha256": "541ebb5f82eda4a5fb22efed69945aadf553934cfbdbd7e9ec7bd69f6beb727d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.02397",
    "kind": "arxiv",
    "version": 2
  }
}