Pith Number

pith:PYFPLJSK

pith:2017:PYFPLJSKKXCP53V2PHKOCZJROS

not attested not anchored not stored refs pending

Invariant, super and quasi-martingale functions of a Markov process

Iulian C\^impean, Lucian Beznea

arxiv:1709.01864 v1 · 2017-09-06 · 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{PYFPLJSKKXCP53V2PHKOCZJROS}

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	2026-05-18T00:35:54.168068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0af5a64a55c4feeeba79d4e1653174b9eb2d4b0e182a2651b5609414159921

Aliases

arxiv: 1709.01864 · arxiv_version: 1709.01864v1 · doi: 10.48550/arxiv.1709.01864 · pith_short_12: PYFPLJSKKXCP · pith_short_16: PYFPLJSKKXCP53V2 · pith_short_8: PYFPLJSK

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/PYFPLJSKKXCP53V2PHKOCZJROS \
  | 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: 7e0af5a64a55c4feeeba79d4e1653174b9eb2d4b0e182a2651b5609414159921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f20ca77db58ea9c56dcefe0ee7b0a09732cada59597c1888dbf7359adc567b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-06T15:51:15Z",
    "title_canon_sha256": "f2af0dc1af2d664e9901c8c22667af207a7c4ec99a4b84c52f2d33483fa96ba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01864",
    "kind": "arxiv",
    "version": 1
  }
}