Pith Number

pith:5HO25W52

pith:2016:5HO25W52SMQNBKFM2T3XVOALZ6

not attested not anchored not stored refs pending

Bounds for stochastic processes on product index spaces

Witold Bednorz

arxiv:1601.08053 v1 · 2016-01-29 · 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{5HO25W52SMQNBKFM2T3XVOALZ6}

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	2026-05-18T01:21:41.059163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ddaedbba9320d0a8acd4f77ab80bcfbb263ffaeeebe33bdb86214b1e6f65c0

Aliases

arxiv: 1601.08053 · arxiv_version: 1601.08053v1 · doi: 10.48550/arxiv.1601.08053 · pith_short_12: 5HO25W52SMQN · pith_short_16: 5HO25W52SMQNBKFM · pith_short_8: 5HO25W52

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/5HO25W52SMQNBKFM2T3XVOALZ6 \
  | 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: e9ddaedbba9320d0a8acd4f77ab80bcfbb263ffaeeebe33bdb86214b1e6f65c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc605223294a9221880f70469dbd458c5672282e472eff91121237c4e0a2b5d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-29T11:03:46Z",
    "title_canon_sha256": "ca9753ce0491a8e1b3bd37d0d4f20b1435615cd03f582a7c61630994f2bc8e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08053",
    "kind": "arxiv",
    "version": 1
  }
}