Pith Number

pith:2NZIWNZW

pith:2017:2NZIWNZW7EIRPLPS24DZBJAXE2

not attested not anchored not stored refs pending

Euler characteristic and Akashi series for Selmer groups over global function fields

Andrea Bandini, Maria Valentino

arxiv:1705.04703 v1 · 2017-05-12 · 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{2NZIWNZW7EIRPLPS24DZBJAXE2}

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	2026-05-18T00:44:34.863780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3728b3736f91117adf2d70790a4172688c4991d8485f2fe0002635470ec0aa6

Aliases

arxiv: 1705.04703 · arxiv_version: 1705.04703v1 · doi: 10.48550/arxiv.1705.04703 · pith_short_12: 2NZIWNZW7EIR · pith_short_16: 2NZIWNZW7EIRPLPS · pith_short_8: 2NZIWNZW

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/2NZIWNZW7EIRPLPS24DZBJAXE2 \
  | 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: d3728b3736f91117adf2d70790a4172688c4991d8485f2fe0002635470ec0aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7605b8c5fbc63916b1acb7be30d7d2e471451fb667782c4ed0094575654752bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-12T18:08:24Z",
    "title_canon_sha256": "f4987e8963e91ea651e2cdcc1a557657e3eaab976eadc6abb84c6763e8c80f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04703",
    "kind": "arxiv",
    "version": 1
  }
}