Pith Number

pith:TEYUVBXW

pith:2016:TEYUVBXWY5X2WLEKGQMBE4NNVD

not attested not anchored not stored refs pending

Uniform rationality of the Poincar\'e series of definable, analytic equivalence relations on local fields

Kien Huu Nguyen

arxiv:1610.07952 v1 · 2016-10-25 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEYUVBXWY5X2WLEKGQMBE4NNVD}

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	2026-05-18T01:01:17.132536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99314a86f6c76fab2c8a34181271ada8f57e4bc9d9a8024f5f27e722133bbadd

Aliases

arxiv: 1610.07952 · arxiv_version: 1610.07952v1 · doi: 10.48550/arxiv.1610.07952 · pith_short_12: TEYUVBXWY5X2 · pith_short_16: TEYUVBXWY5X2WLEK · pith_short_8: TEYUVBXW

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/TEYUVBXWY5X2WLEKGQMBE4NNVD \
  | 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: 99314a86f6c76fab2c8a34181271ada8f57e4bc9d9a8024f5f27e722133bbadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65e3a0688d2c74f70a09cd07f4c90eb80482b4986a32ab8b246e5de7e8a24af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-25T16:28:36Z",
    "title_canon_sha256": "ac569565545a0190db598e3bf4dcde024ca9ae5a84136813cecb4e7a775ec93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07952",
    "kind": "arxiv",
    "version": 1
  }
}