Pith Number

pith:PIBB462Q

pith:2024:PIBB462QP3T7BHHXISFAI7V32Q

not attested not anchored not stored refs pending

On a problem of optimal mixing

Kirill Sokolov

arxiv:2411.16651 v1 · 2024-11-25 · 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{PIBB462QP3T7BHHXISFAI7V32Q}

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	2026-07-05T09:40:12.406234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a021e7b507ee7f09cf7448a047ebbd41f27f6615065bab8e716caf974fb04dd

Aliases

arxiv: 2411.16651 · arxiv_version: 2411.16651v1 · doi: 10.48550/arxiv.2411.16651 · pith_short_12: PIBB462QP3T7 · pith_short_16: PIBB462QP3T7BHHX · pith_short_8: PIBB462Q

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/PIBB462QP3T7BHHXISFAI7V32Q \
  | 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: 7a021e7b507ee7f09cf7448a047ebbd41f27f6615065bab8e716caf974fb04dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c748f6921d41440639b6deab4dbbe93a14da31e00c1951905cd5091f6627e608",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-25T18:35:37Z",
    "title_canon_sha256": "ed7e7551382c080f5ed4b0a97b874a87c15ac19cf6c5e2918b644c53d9482fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16651",
    "kind": "arxiv",
    "version": 1
  }
}