Pith Number

pith:GIVPVMMQ

pith:2019:GIVPVMMQBKOLFK4IBGC7PPAH4I

not attested not anchored not stored refs pending

On infinite covariance expansions

Gesine Reinert, Marie Ernst, Yvik Swan

arxiv:1906.08376 v1 · 2019-06-19 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIVPVMMQBKOLFK4IBGC7PPAH4I}

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	2026-05-17T23:42:52.647721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322afab1900a9cb2ab880985f7bc07e23cbfb4c60208988cb430a5a825d7cb84

Aliases

arxiv: 1906.08376 · arxiv_version: 1906.08376v1 · doi: 10.48550/arxiv.1906.08376 · pith_short_12: GIVPVMMQBKOL · pith_short_16: GIVPVMMQBKOLFK4I · pith_short_8: GIVPVMMQ

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/GIVPVMMQBKOLFK4IBGC7PPAH4I \
  | 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: 322afab1900a9cb2ab880985f7bc07e23cbfb4c60208988cb430a5a825d7cb84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6329355219b23f3459d4287abb0154b7c03ad359be5963fd62add6f14f7e99",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-19T21:47:35Z",
    "title_canon_sha256": "72c744d5514efc9ef26da89cb03704f873becd3fd775631257d97693a1433f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08376",
    "kind": "arxiv",
    "version": 1
  }
}