Pith Number

pith:QGUVZ4RG

pith:2023:QGUVZ4RGOAOYT2WXILEZPUZ6ZF

not attested not anchored not stored refs pending

Log $p$-divisible groups and semi-stable representations

Alessandra Bertapelle, Heer Zhao, Shanwen Wang

arxiv:2302.11030 v4 · 2023-02-21 · math.NT · 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{QGUVZ4RGOAOYT2WXILEZPUZ6ZF}

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	2026-05-22T01:03:13.359164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a95cf226701d89ead742c997d33ec9665129242d3c071b0f8f2d062d166747

Aliases

arxiv: 2302.11030 · arxiv_version: 2302.11030v4 · doi: 10.48550/arxiv.2302.11030 · pith_short_12: QGUVZ4RGOAOY · pith_short_16: QGUVZ4RGOAOYT2WX · pith_short_8: QGUVZ4RG

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/QGUVZ4RGOAOYT2WXILEZPUZ6ZF \
  | 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: 81a95cf226701d89ead742c997d33ec9665129242d3c071b0f8f2d062d166747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f3d7000088324236ecc4a7582dc3243f3cc0a0e9b503cfc20b67d3b7bb9673",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-02-21T22:13:21Z",
    "title_canon_sha256": "a6c266af4c834ad0de77a6b082c544273fc08eff4b3765ad4b029b9f717bc885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.11030",
    "kind": "arxiv",
    "version": 4
  }
}