Pith Number

pith:EFON44WF

pith:2025:EFON44WF6FTKSXVCTSAXJKRBAH

not attested not anchored not stored refs pending

Classifying torsors of tori with Brauer groups

Alexander Duncan, Pankaj Singh

arxiv:2505.10386 v2 · 2025-05-15 · math.AG · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFON44WF6FTKSXVCTSAXJKRBAH}

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.

Cited by

1 paper in Pith

Birational Geometry of sextic del Pezzo surfaces

Receipt and verification

First computed	2026-07-05T12:09:17.721437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

215cde72c5f166a95ea29c8174aa2101e3d6a86174ef9491e3cc58539a8c1554

Aliases

arxiv: 2505.10386 · arxiv_version: 2505.10386v2 · doi: 10.48550/arxiv.2505.10386 · pith_short_12: EFON44WF6FTK · pith_short_16: EFON44WF6FTKSXVC · pith_short_8: EFON44WF

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/EFON44WF6FTKSXVCTSAXJKRBAH \
  | 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: 215cde72c5f166a95ea29c8174aa2101e3d6a86174ef9491e3cc58539a8c1554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7ff38957163ad075c22c228e2549826e4d848a1853acdf4ec3b3a239ae0354",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-15T15:07:37Z",
    "title_canon_sha256": "ca9389a6009e805147cea96571d6c7925e6e5567d8bddd0a488d3959bed88e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10386",
    "kind": "arxiv",
    "version": 2
  }
}