Pith Number

pith:MXPD57CS

pith:2016:MXPD57CSD2RGE5EOXE3NOIN3FH

not attested not anchored not stored refs pending

Schottky Groups over Valuation Rings

Dani Samaniego, Xavier Xarles

arxiv:1609.07800 v2 · 2016-09-25 · math.AG · math.GR · 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{MXPD57CSD2RGE5EOXE3NOIN3FH}

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	2026-05-18T00:39:56.905310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65de3efc521ea262748eb936d721bb29d1ac3285ee242a0c9622e04f89ec225f

Aliases

arxiv: 1609.07800 · arxiv_version: 1609.07800v2 · doi: 10.48550/arxiv.1609.07800 · pith_short_12: MXPD57CSD2RG · pith_short_16: MXPD57CSD2RGE5EO · pith_short_8: MXPD57CS

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/MXPD57CSD2RGE5EOXE3NOIN3FH \
  | 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: 65de3efc521ea262748eb936d721bb29d1ac3285ee242a0c9622e04f89ec225f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c421530054bdcc89b4c8ae5d817bf4cc174869b12afb13fca74c343c3c359a",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-25T21:05:18Z",
    "title_canon_sha256": "8727c57e659f5c451d0512e015cf7fc22b28a3f160a16d82af6e0d094687d311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07800",
    "kind": "arxiv",
    "version": 2
  }
}