Pith Number

pith:7C3YHHJ6

pith:2015:7C3YHHJ6NJQRQJTDLX3GNELF5P

not attested not anchored not stored refs pending

Small ball properties and representation results

Georgiy Shevchenko, Yuliya Mishura

arxiv:1508.07134 v1 · 2015-08-28 · 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{7C3YHHJ6NJQRQJTDLX3GNELF5P}

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	2026-05-18T01:34:36.815191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b7839d3e6a611826635df6669165ebce4425cffdb7e9be7eee91af455c9687

Aliases

arxiv: 1508.07134 · arxiv_version: 1508.07134v1 · doi: 10.48550/arxiv.1508.07134 · pith_short_12: 7C3YHHJ6NJQR · pith_short_16: 7C3YHHJ6NJQRQJTD · pith_short_8: 7C3YHHJ6

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/7C3YHHJ6NJQRQJTDLX3GNELF5P \
  | 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: f8b7839d3e6a611826635df6669165ebce4425cffdb7e9be7eee91af455c9687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8446e24585cb715cee1fcf0523b6be634f448fbac67f7c8d24f07b1cdb4e1094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-28T09:00:12Z",
    "title_canon_sha256": "22160b5ff8aea80850ebde1602ad30526589408da0c5fbfd12298e65996bf0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07134",
    "kind": "arxiv",
    "version": 1
  }
}