Pith Number

pith:BCDNRYV2

pith:2026:BCDNRYV2WDWCUVZ25CBOBH4YYG

not attested not anchored not stored refs pending

Answer to a decomposition question on tori raised by Colliot-Th\'el\`ene and Sansuc

Anis Zidani

arxiv:2606.11460 v1 · 2026-06-09 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCDNRYV2WDWCUVZ25CBOBH4YYG}

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	2026-06-11T01:09:49.777457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0886d8e2bab0ec2a573ae882e09f98c18fbd43830286defa3d9e3d84a6624e29

Aliases

arxiv: 2606.11460 · arxiv_version: 2606.11460v1 · doi: 10.48550/arxiv.2606.11460 · pith_short_12: BCDNRYV2WDWC · pith_short_16: BCDNRYV2WDWCUVZ2 · pith_short_8: BCDNRYV2

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/BCDNRYV2WDWCUVZ25CBOBH4YYG \
  | 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: 0886d8e2bab0ec2a573ae882e09f98c18fbd43830286defa3d9e3d84a6624e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e467c21ce05ad70c6fc74a277855814cf9ca82f3132fb12142685a2ba1cbf29",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-09T21:26:38Z",
    "title_canon_sha256": "5b87a3edb2fefc053261bebf8437d20edca422021fbb278edd7be8e7546aa842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11460",
    "kind": "arxiv",
    "version": 1
  }
}