Pith Number

pith:AYFGRX6F

pith:2026:AYFGRX6FZXDL6C4XY4RO5WCMSC

not attested not anchored not stored refs pending

Concentration from Product Moments via an Additional Element of Randomness

Aravind Srinivasan, Michael Saks, Renata Valieva

arxiv:2608.04125 v1 · 2026-08-04 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYFGRX6FZXDL6C4XY4RO5WCMSC}

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	2026-08-06T01:30:40.753056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060a68dfc5cdc6bf0b97c722eed84c908ea9f623b533ab45df6368c324e69a83

Aliases

arxiv: 2608.04125 · arxiv_version: 2608.04125v1 · doi: 10.48550/arxiv.2608.04125 · pith_short_12: AYFGRX6FZXDL · pith_short_16: AYFGRX6FZXDL6C4X · pith_short_8: AYFGRX6F

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/AYFGRX6FZXDL6C4XY4RO5WCMSC \
  | 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: 060a68dfc5cdc6bf0b97c722eed84c908ea9f623b533ab45df6368c324e69a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30c6d1a034d7429cc7cf0c8dd1ec5dda7ee1fa371ed9b4f182441b89fd1ae3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-08-04T18:23:40Z",
    "title_canon_sha256": "fb13902ce60336b603b5f71ad63c85ed2d200f6986aa95446d93eb4ed92b9263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04125",
    "kind": "arxiv",
    "version": 1
  }
}