Pith Number

pith:NPT6RYUJ

pith:2019:NPT6RYUJABY4CU2SOHFBZONUSW

not attested not anchored not stored refs pending

On the long tail property of product convolution

Guancheng Jiang, Yuebao Wang, Zhaolei Cui

arxiv:1901.01399 v1 · 2019-01-05 · 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{NPT6RYUJABY4CU2SOHFBZONUSW}

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	2026-05-17T23:56:52.091498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be7e8e2890071c1535271ca1cb9b49595a6dd58e3046ad686135a517c3218fc

Aliases

arxiv: 1901.01399 · arxiv_version: 1901.01399v1 · doi: 10.48550/arxiv.1901.01399 · pith_short_12: NPT6RYUJABY4 · pith_short_16: NPT6RYUJABY4CU2S · pith_short_8: NPT6RYUJ

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/NPT6RYUJABY4CU2SOHFBZONUSW \
  | 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: 6be7e8e2890071c1535271ca1cb9b49595a6dd58e3046ad686135a517c3218fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb20c57916966ec051c59d8d608cdb5299a1571b274879d5601407ee8b2c6105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-05T10:50:59Z",
    "title_canon_sha256": "98834e654a2c7e7c7518da9338582413322c12736bdd26a12b31cd611e1b85d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01399",
    "kind": "arxiv",
    "version": 1
  }
}