Pith Number

pith:52BL2CQJ

pith:2017:52BL2CQJ6EIT3O4MM4CEXMYQSH

not attested not anchored not stored refs pending

A.Ya. Khintchine's Work in Probability Theory

Francesco Mainardi, Sergei Rogosin

arxiv:1705.08744 v3 · 2017-05-24 · math.HO · 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{52BL2CQJ6EIT3O4MM4CEXMYQSH}

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	2026-05-18T00:27:48.383781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee82bd0a09f1113dbb8c67044bb31091d19b5bf2d6958613d3590a31ad562ba3

Aliases

arxiv: 1705.08744 · arxiv_version: 1705.08744v3 · doi: 10.48550/arxiv.1705.08744 · pith_short_12: 52BL2CQJ6EIT · pith_short_16: 52BL2CQJ6EIT3O4M · pith_short_8: 52BL2CQJ

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/52BL2CQJ6EIT3O4MM4CEXMYQSH \
  | 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: ee82bd0a09f1113dbb8c67044bb31091d19b5bf2d6958613d3590a31ad562ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a85e474198eaae43e149b4c2fb08b2f8fd8c7ba675889de85f329fde6e860f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-05-24T13:20:49Z",
    "title_canon_sha256": "7a167732386c045ee7c6b0820ae293b017f29bcf0a68a93057c66a02b565319a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08744",
    "kind": "arxiv",
    "version": 3
  }
}