Pith Number

pith:5PP7PPLS

pith:2023:5PP7PPLSFQ2SBK3XEMDPS6Y2YF

not attested not anchored not stored refs pending

Ergodicity and super weak compactness

Guillaume Grelier, Mat\'ias Raja

arxiv:2302.05656 v1 · 2023-02-11 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PP7PPLSFQ2SBK3XEMDPS6Y2YF}

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	2026-07-05T05:40:56.438452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebdff7bd722c3520ab772306f97b1ac17792520169826bcb4247b97019314e91

Aliases

arxiv: 2302.05656 · arxiv_version: 2302.05656v1 · doi: 10.48550/arxiv.2302.05656 · pith_short_12: 5PP7PPLSFQ2S · pith_short_16: 5PP7PPLSFQ2SBK3X · pith_short_8: 5PP7PPLS

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/5PP7PPLSFQ2SBK3XEMDPS6Y2YF \
  | 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: ebdff7bd722c3520ab772306f97b1ac17792520169826bcb4247b97019314e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a975010d64464a8ef6d130d6982125232a49c2879079cb063b454afe66a0de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-02-11T11:31:22Z",
    "title_canon_sha256": "112a8534b2d79ddc0f594e426c758defc2136727f9a8a00c287f0369a9e672b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.05656",
    "kind": "arxiv",
    "version": 1
  }
}