Pith Number

pith:35MM2U7K

pith:2017:35MM2U7K5URLWUJ2DBOOJQWRPI

not attested not anchored not stored refs pending

Quasimartingales associated to Markov processes

Iulian C\^impean, Lucian Beznea

arxiv:1702.06282 v1 · 2017-02-21 · 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{35MM2U7K5URLWUJ2DBOOJQWRPI}

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	2026-05-18T00:50:14.542642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df58cd53eaed22bb513a185ce4c2d17a0e0d2cc12469578741949a59831adc18

Aliases

arxiv: 1702.06282 · arxiv_version: 1702.06282v1 · doi: 10.48550/arxiv.1702.06282 · pith_short_12: 35MM2U7K5URL · pith_short_16: 35MM2U7K5URLWUJ2 · pith_short_8: 35MM2U7K

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/35MM2U7K5URLWUJ2DBOOJQWRPI \
  | 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: df58cd53eaed22bb513a185ce4c2d17a0e0d2cc12469578741949a59831adc18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49059893dcd015d9e5ed8159478bb20232b099f6ad24b647499ca5e7b697a0b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-21T07:17:21Z",
    "title_canon_sha256": "a9da3acbbc5130bcac49612667e285b15860d920745ca7c48d8bdc3c20960f5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06282",
    "kind": "arxiv",
    "version": 1
  }
}