Pith Number

pith:ZL2RG5CY

pith:2021:ZL2RG5CYUVV44O44DTYYEXGY7B

not attested not anchored not stored refs pending

Representability of cohomology of finite flat abelian group schemes

Daniel Bragg, Martin Olsson

arxiv:2107.11492 v2 · 2021-07-24 · 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{ZL2RG5CYUVV44O44DTYYEXGY7B}

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

2 papers in Pith

An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups

Height 1 Group Schemes and Prismatic F-Gauges

Receipt and verification

First computed	2026-07-05T10:46:18.216755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf5137458a56bce3b9c1cf1825cd8f8754248478a231542193f2be40e8567c7

Aliases

arxiv: 2107.11492 · arxiv_version: 2107.11492v2 · doi: 10.48550/arxiv.2107.11492 · pith_short_12: ZL2RG5CYUVV4 · pith_short_16: ZL2RG5CYUVV44O44 · pith_short_8: ZL2RG5CY

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/ZL2RG5CYUVV44O44DTYYEXGY7B \
  | 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: caf5137458a56bce3b9c1cf1825cd8f8754248478a231542193f2be40e8567c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f4c48e04776e47d0549204e458096a4948a17282793bd97b5a154ea2959ef56",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-07-24T00:32:13Z",
    "title_canon_sha256": "bab70689d682f614b252754c09d40322ba9180b56f9a5041f2c072bb386c1b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11492",
    "kind": "arxiv",
    "version": 2
  }
}