Pith Number

pith:56YTH5BG

pith:2024:56YTH5BGR443RT72VTKZGZGITX

not attested not anchored not stored refs pending

The period-index conjecture for abelian threefolds and Donaldson-Thomas theory

Alexander Perry, James Hotchkiss

arxiv:2405.03315 v2 · 2024-05-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56YTH5BGR443RT72VTKZGZGITX}

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

Minimal Trivializing Isogenies of $\mathbb{G}_m$-gerbes over Abelian Varieties and Period-Index Problem

Receipt and verification

First computed	2026-07-05T08:29:25.871629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efb133f4268f39b8cffaacd59364c89df7aa5ac4e363eaf8185f444a38858b38

Aliases

arxiv: 2405.03315 · arxiv_version: 2405.03315v2 · doi: 10.48550/arxiv.2405.03315 · pith_short_12: 56YTH5BGR443 · pith_short_16: 56YTH5BGR443RT72 · pith_short_8: 56YTH5BG

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/56YTH5BGR443RT72VTKZGZGITX \
  | 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: efb133f4268f39b8cffaacd59364c89df7aa5ac4e363eaf8185f444a38858b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155cb673752b7c99923aff9d103b08d8bd1c7429dc9f2e4bdb499e3255316a80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-06T09:44:17Z",
    "title_canon_sha256": "cbda540ceb81437f1808ed71a5ae32d45503c6ac5ccd7fc8908205302d8fdec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.03315",
    "kind": "arxiv",
    "version": 2
  }
}