Pith Number

pith:5LTSHNGJ

pith:2016:5LTSHNGJBTDPXCJY35AVZ3BAYV

not attested not anchored not stored refs pending

Markov processes with spatial delay: path space characterization, occupation time and properties

Konstantinos Spiliopoulos, Michael Salins

arxiv:1601.03759 v3 · 2016-01-14 · 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{5LTSHNGJBTDPXCJY35AVZ3BAYV}

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	2026-05-18T01:03:06.220176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae723b4c90cc6fb8938df415cec20c568743f30b0d623993b7dbc9c8123f8aa

Aliases

arxiv: 1601.03759 · arxiv_version: 1601.03759v3 · doi: 10.48550/arxiv.1601.03759 · pith_short_12: 5LTSHNGJBTDP · pith_short_16: 5LTSHNGJBTDPXCJY · pith_short_8: 5LTSHNGJ

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/5LTSHNGJBTDPXCJY35AVZ3BAYV \
  | 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: eae723b4c90cc6fb8938df415cec20c568743f30b0d623993b7dbc9c8123f8aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6bd0f7a0236e7a3244ee0c2c307f43d591518151efc435b9764df82fea377a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-14T21:32:15Z",
    "title_canon_sha256": "f891239f4b9feb84ed6eb22660aed98b1528b518324fcb6d237c37e48ba792a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03759",
    "kind": "arxiv",
    "version": 3
  }
}