Pith Number

pith:LKT2KDOG

pith:2025:LKT2KDOGPAYF2Q5WR32QXTPY5S

not attested not anchored not stored refs pending

F-isocrystals of Higher Direct Images of $p$-Divisible Groups

Yanshuai Qin, Zhenghui Li

arxiv:2506.11736 v1 · 2025-06-13 · 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{LKT2KDOGPAYF2Q5WR32QXTPY5S}

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	2026-07-05T11:21:09.977807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa7a50dc678305d43b68ef50bcdf8ecab66c8836ca744d8623d093e19759d31

Aliases

arxiv: 2506.11736 · arxiv_version: 2506.11736v1 · doi: 10.48550/arxiv.2506.11736 · pith_short_12: LKT2KDOGPAYF · pith_short_16: LKT2KDOGPAYF2Q5W · pith_short_8: LKT2KDOG

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/LKT2KDOGPAYF2Q5WR32QXTPY5S \
  | 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: 5aa7a50dc678305d43b68ef50bcdf8ecab66c8836ca744d8623d093e19759d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecc7a37157e36d1de405c4607b229c557250baf2c2a978f4cb1ad7b09df3532b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-13T12:47:12Z",
    "title_canon_sha256": "d2e64450044ebaa0a1062a460717ac06d645baa4b9586c8a6d3f35903186e2e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11736",
    "kind": "arxiv",
    "version": 1
  }
}