Pith Number

pith:EWVHSDAS

pith:2018:EWVHSDAS7TMDG3R74OBW2M63V4

not attested not anchored not stored refs pending

Invariant Frobenius lifts and deformation of the Hasse invariant

Alexandru Buium

arxiv:1805.09636 v2 · 2018-05-24 · 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{EWVHSDAS7TMDG3R74OBW2M63V4}

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	2026-05-18T00:08:54.115866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25aa790c12fcd8336e3fe3836d33dbaf215ef4168f1cd47dc6dbd671918ad371

Aliases

arxiv: 1805.09636 · arxiv_version: 1805.09636v2 · doi: 10.48550/arxiv.1805.09636 · pith_short_12: EWVHSDAS7TMD · pith_short_16: EWVHSDAS7TMDG3R7 · pith_short_8: EWVHSDAS

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/EWVHSDAS7TMDG3R74OBW2M63V4 \
  | 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: 25aa790c12fcd8336e3fe3836d33dbaf215ef4168f1cd47dc6dbd671918ad371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70e4708b9bc1488fbb3b7b3b73ddd6b3710e325e124e8226321767f216306e94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-24T12:41:27Z",
    "title_canon_sha256": "aa67336f391a643cbfb71a8a154498d737435d06656d40d851dc4694b15a4661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09636",
    "kind": "arxiv",
    "version": 2
  }
}