Pith Number

pith:UOPQ4K3B

pith:2025:UOPQ4K3BWA6RSRMSPICIJUGXJX

not attested not anchored not stored refs pending

On the K-theory of algebraic tori

Branko Juran, Florian Riedel, Qingyuan Bai, Shachar Carmeli

arxiv:2507.12954 v1 · 2025-07-17 · math.KT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UOPQ4K3BWA6RSRMSPICIJUGXJX}

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	2026-07-05T11:38:42.071157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a39f0e2b61b03d1945927a0484d0d74dc87cf30369e4f95d6a80a613fe614916

Aliases

arxiv: 2507.12954 · arxiv_version: 2507.12954v1 · doi: 10.48550/arxiv.2507.12954 · pith_short_12: UOPQ4K3BWA6R · pith_short_16: UOPQ4K3BWA6RSRMS · pith_short_8: UOPQ4K3B

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/UOPQ4K3BWA6RSRMSPICIJUGXJX \
  | 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: a39f0e2b61b03d1945927a0484d0d74dc87cf30369e4f95d6a80a613fe614916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb7314d718450f8a7bdbf3dcb8af92161b38bd662a0a175a6c837bcefc675e9",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-07-17T09:49:27Z",
    "title_canon_sha256": "e69b66b5b3d94996c78b450c4578583d0b45fcd8cd725b00f884b5096bada6cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12954",
    "kind": "arxiv",
    "version": 1
  }
}