Pith Number

pith:64TQGTFB

pith:2017:64TQGTFBOUI5FVH5TJREJX45JQ

not attested not anchored not stored refs pending

Some model theory and topological dynamics of p-adic algebraic groups

Anand Pillay, Davide Penazzi, Ningyuan Yao

arxiv:1704.07764 v3 · 2017-04-25 · math.LO · math.DS · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64TQGTFBOUI5FVH5TJREJX45JQ}

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	2026-05-17T23:53:52.336910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f727034ca17511d2d4fd9a6244df9d4c003afb9d2f330faf43eda0b2d6231eac

Aliases

arxiv: 1704.07764 · arxiv_version: 1704.07764v3 · doi: 10.48550/arxiv.1704.07764 · pith_short_12: 64TQGTFBOUI5 · pith_short_16: 64TQGTFBOUI5FVH5 · pith_short_8: 64TQGTFB

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/64TQGTFBOUI5FVH5TJREJX45JQ \
  | 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: f727034ca17511d2d4fd9a6244df9d4c003afb9d2f330faf43eda0b2d6231eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001e943eecbd3e696fefe95d2f86e1089b64c62d928594558f846557cdb6f737",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-04-25T16:16:23Z",
    "title_canon_sha256": "0ee468045f2e757b641c16bf9eecc122ebe22be1d395f739db05b56aad416c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07764",
    "kind": "arxiv",
    "version": 3
  }
}