Pith Number

pith:DFW567JF

pith:2024:DFW567JFWZJMTQN6IJOSVCRNW4

not attested not anchored not stored refs pending

On the anti-concentration functions of some familiar families of distributions

Renming Song, Yuan Tan, Ze-Chun Hu

arxiv:2401.09998 v2 · 2024-01-18 · 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{DFW567JFWZJMTQN6IJOSVCRNW4}

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	2026-07-05T08:03:48.079720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

196ddf7d25b652c9c1be425d2a8a2db70fcce0930f3dfefff1dee575522806bc

Aliases

arxiv: 2401.09998 · arxiv_version: 2401.09998v2 · doi: 10.48550/arxiv.2401.09998 · pith_short_12: DFW567JFWZJM · pith_short_16: DFW567JFWZJMTQN6 · pith_short_8: DFW567JF

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/DFW567JFWZJMTQN6IJOSVCRNW4 \
  | 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: 196ddf7d25b652c9c1be425d2a8a2db70fcce0930f3dfefff1dee575522806bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c619156bc76c556f3f367ac2b890129505f9e8b0b8e123b710c4e40df7201e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-01-18T14:14:14Z",
    "title_canon_sha256": "ea468f993064643cab40ca5436c0ee96c48cc47a838b0cf3fdb8ef1a59b94746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.09998",
    "kind": "arxiv",
    "version": 2
  }
}