Pith Number

pith:ZK3AUNKT

pith:2013:ZK3AUNKTAWYJUPUDRMPC75V3FX

not attested not anchored not stored refs pending

Newton slopes for Artin-Schreier-Witt towers

Christopher Davis, Daqing Wan, Liang Xiao

arxiv:1310.5311 v3 · 2013-10-20 · 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{ZK3AUNKTAWYJUPUDRMPC75V3FX}

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	2026-05-18T01:20:17.970793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab60a355305b09a3e838b1e2ff6bb2dd4a177def11b4fa9d88e3115897f23e0

Aliases

arxiv: 1310.5311 · arxiv_version: 1310.5311v3 · doi: 10.48550/arxiv.1310.5311 · pith_short_12: ZK3AUNKTAWYJ · pith_short_16: ZK3AUNKTAWYJUPUD · pith_short_8: ZK3AUNKT

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/ZK3AUNKTAWYJUPUDRMPC75V3FX \
  | 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: cab60a355305b09a3e838b1e2ff6bb2dd4a177def11b4fa9d88e3115897f23e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec4e7a0bdec94645d0df7a9546dec3acd755574d59b9606e74289e92b8a213d0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-20T09:13:59Z",
    "title_canon_sha256": "e4b9468ff24fd668f44758f779fcec3f75787a3c6645d55a95892af642fff295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5311",
    "kind": "arxiv",
    "version": 3
  }
}