Pith Number

pith:KP5JWPC2

pith:2016:KP5JWPC2OLRUX4NY5HQI3XPFZA

not attested not anchored not stored refs pending

An integral representation of dilatively stable processes with independent increments

Peter Kern, Thorsten Bhatti

arxiv:1603.03569 v1 · 2016-03-11 · 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{KP5JWPC2OLRUX4NY5HQI3XPFZA}

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	2026-05-18T00:13:15.837292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53fa9b3c5a72e34bf1b8e9e08ddde5c81c9528f2e7e5dd0d67c6f41d20577d02

Aliases

arxiv: 1603.03569 · arxiv_version: 1603.03569v1 · doi: 10.48550/arxiv.1603.03569 · pith_short_12: KP5JWPC2OLRU · pith_short_16: KP5JWPC2OLRUX4NY · pith_short_8: KP5JWPC2

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/KP5JWPC2OLRUX4NY5HQI3XPFZA \
  | 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: 53fa9b3c5a72e34bf1b8e9e08ddde5c81c9528f2e7e5dd0d67c6f41d20577d02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a1b92c9337b8417cb7be3c546e26f54e2e1907cdc6335aa12475c37d2f83b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-11T09:11:29Z",
    "title_canon_sha256": "9891ea12b1d7077d27a56dc41295735a641cd0d3c99b2b6138a303442da8e51d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03569",
    "kind": "arxiv",
    "version": 1
  }
}