Pith Number

pith:2EKSPWRJ

pith:2016:2EKSPWRJKL4UH25R7V2XHBGJHD

not attested not anchored not stored refs pending

Generic Newton Slopes for Artin-Schreier-Witt Tower in two variables

Hui June Zhu

arxiv:1612.07158 v1 · 2016-12-21 · 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{2EKSPWRJKL4UH25R7V2XHBGJHD}

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	2026-05-18T00:54:14.551981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d11527da2952f943ebb1fd757384c938e1c47cc041a67e43e7fd9f179a8a39e1

Aliases

arxiv: 1612.07158 · arxiv_version: 1612.07158v1 · doi: 10.48550/arxiv.1612.07158 · pith_short_12: 2EKSPWRJKL4U · pith_short_16: 2EKSPWRJKL4UH25R · pith_short_8: 2EKSPWRJ

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/2EKSPWRJKL4UH25R7V2XHBGJHD \
  | 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: d11527da2952f943ebb1fd757384c938e1c47cc041a67e43e7fd9f179a8a39e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e8559f2b9788522ae4da5d20c67e0fbc8b8f60b3e20c788c335f1bbce936f73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-21T14:58:31Z",
    "title_canon_sha256": "0c89017fc6c03c2a3fdb5d8a545d28f39568ba930001a9882585651b31009522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07158",
    "kind": "arxiv",
    "version": 1
  }
}