Pith Number

pith:LBXPMYM2

pith:2026:LBXPMYM2E4H4GDOYWFKYNMAAVI

not attested not anchored not stored refs pending

Equi-dependence implying independence

Iosif Pinelis

arxiv:2608.13559 v1 · 2026-08-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBXPMYM2E4H4GDOYWFKYNMAAVI}

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	2026-08-14T01:25:04.359713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

586ef6619a270fc30dd8b15586b000aa24c5db2a6db94eec3cbd3ab57a303a73

Aliases

arxiv: 2608.13559 · arxiv_version: 2608.13559v1 · doi: 10.48550/arxiv.2608.13559 · pith_short_12: LBXPMYM2E4H4 · pith_short_16: LBXPMYM2E4H4GDOY · pith_short_8: LBXPMYM2

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/LBXPMYM2E4H4GDOYWFKYNMAAVI \
  | 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: 586ef6619a270fc30dd8b15586b000aa24c5db2a6db94eec3cbd3ab57a303a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f4e9c3c70a3a46b8d66a5f49b1a40baf50a7497d6bb84a496926fee732a42b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-13T17:59:55Z",
    "title_canon_sha256": "b918692fba0a2f483b5fdbf68fcc27a623a3041c146f5580355a9c85cc7b9ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13559",
    "kind": "arxiv",
    "version": 1
  }
}