Pith Number

pith:6RLDUMWH

pith:2013:6RLDUMWHMDAZ7LYZ57IIQPACLN

not attested not anchored not stored refs pending

Density and tails of unimodal convolution semigroups

Krzysztof Bogdan, Micha{\l} Ryznar, Tomasz Grzywny

arxiv:1305.0976 v2 · 2013-05-05 · math.FA · 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{6RLDUMWHMDAZ7LYZ57IIQPACLN}

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	2026-05-18T02:29:08.483130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4563a32c760c19faf19efd0883c025b6ec6951edbea6dd5fcebc70671cb3c65

Aliases

arxiv: 1305.0976 · arxiv_version: 1305.0976v2 · doi: 10.48550/arxiv.1305.0976 · pith_short_12: 6RLDUMWHMDAZ · pith_short_16: 6RLDUMWHMDAZ7LYZ · pith_short_8: 6RLDUMWH

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/6RLDUMWHMDAZ7LYZ57IIQPACLN \
  | 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: f4563a32c760c19faf19efd0883c025b6ec6951edbea6dd5fcebc70671cb3c65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383be6017367c66904ae08b4a5a23fc9742d264b1b0772418ead267d34f057cf",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-05T00:57:28Z",
    "title_canon_sha256": "6e663b6afcfb209e0a0441df25f742f627c24e4da33535a9be69444d37242332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0976",
    "kind": "arxiv",
    "version": 2
  }
}