Pith Number

pith:SO4JFRZN

pith:2017:SO4JFRZN4KYLJ7JHJRT56IGYKY

not attested not anchored not stored refs pending

Genus growth in $\mathbb{Z}_p$-towers of function fields

Daqing Wan, Michiel Kosters

arxiv:1703.05420 v1 · 2017-03-15 · 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{SO4JFRZN4KYLJ7JHJRT56IGYKY}

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	2026-05-18T00:48:34.339144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b892c72de2b0b4fd274c67df20d85637e4c93081401917d936df4b2af9e1a2

Aliases

arxiv: 1703.05420 · arxiv_version: 1703.05420v1 · doi: 10.48550/arxiv.1703.05420 · pith_short_12: SO4JFRZN4KYL · pith_short_16: SO4JFRZN4KYLJ7JH · pith_short_8: SO4JFRZN

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/SO4JFRZN4KYLJ7JHJRT56IGYKY \
  | 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: 93b892c72de2b0b4fd274c67df20d85637e4c93081401917d936df4b2af9e1a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c128950fef8cc13ba56c04004b3f13c143c10dee0caba317682462bb206bb318",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-15T23:12:25Z",
    "title_canon_sha256": "889283d472f6b0308c729d9a010a01e677c2e68df31460ce2115d7e579d4ebd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05420",
    "kind": "arxiv",
    "version": 1
  }
}