Pith Number

pith:P2WU42LC

pith:2018:P2WU42LC4JP5M4YW5KDYI4KJSP

not attested not anchored not stored refs pending

Dimensions of automorphism group schemes of finite level truncations of $F$-cyclic $F$-crystals

Xiao Xiao, Zeyu Ding

arxiv:1812.03577 v3 · 2018-12-09 · 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{P2WU42LC4JP5M4YW5KDYI4KJSP}

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	2026-05-17T23:41:12.476976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ead4e6962e25fd67316ea8784714993dae3f70b2737417ada295612ac9ef56c

Aliases

arxiv: 1812.03577 · arxiv_version: 1812.03577v3 · doi: 10.48550/arxiv.1812.03577 · pith_short_12: P2WU42LC4JP5 · pith_short_16: P2WU42LC4JP5M4YW · pith_short_8: P2WU42LC

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/P2WU42LC4JP5M4YW5KDYI4KJSP \
  | 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: 7ead4e6962e25fd67316ea8784714993dae3f70b2737417ada295612ac9ef56c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b4c8b08dfaebcd6fc9dbcb5ea1207ccfca60b49b7ec43f2e52f9d46a72fcf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-09T23:19:27Z",
    "title_canon_sha256": "b8f9e249b105fca275f3f03dea787bfa47b527f54a423d6f15f05ccb86816ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03577",
    "kind": "arxiv",
    "version": 3
  }
}