Pith Number

pith:7C74FYE4

pith:2010:7C74FYE4WQHASFKPV4ZCWXSRLC

not attested not anchored not stored refs pending

On Beta-Product Convolutions

Enkelejd Hashorva

arxiv:1001.4684 v3 · 2010-01-26 · 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{7C74FYE4WQHASFKPV4ZCWXSRLC}

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	2026-05-18T03:25:59.858714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8bfc2e09cb40e09154faf322b5e5158aa299a28a0c3ded89f5e2f1a5b4d1df6

Aliases

arxiv: 1001.4684 · arxiv_version: 1001.4684v3 · doi: 10.48550/arxiv.1001.4684 · pith_short_12: 7C74FYE4WQHA · pith_short_16: 7C74FYE4WQHASFKP · pith_short_8: 7C74FYE4

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/7C74FYE4WQHASFKPV4ZCWXSRLC \
  | 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: f8bfc2e09cb40e09154faf322b5e5158aa299a28a0c3ded89f5e2f1a5b4d1df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f98c397f9e05a7e8d18405af3d97c8c4e2f06c64d11c62dae8d66362413e2c5",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-26T13:47:49Z",
    "title_canon_sha256": "0b2b004e556a44b2b9a4d668af89645e07079cac2a870fe373868ccbc6f4f3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4684",
    "kind": "arxiv",
    "version": 3
  }
}