Pith Number

pith:FOAVGJFO

pith:2015:FOAVGJFOJDJRTQAV2ICLCKF5K5

not attested not anchored not stored refs pending

Approximations for solutions of L\'evy-type stochastic differential equations

Micha{\l} Barski

arxiv:1512.06572 v1 · 2015-12-21 · 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{FOAVGJFOJDJRTQAV2ICLCKF5K5}

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	2026-05-18T01:24:00.194971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b815324ae48d319c015d204b128bd575fd36a2bba70a3a349e607d63222dcad

Aliases

arxiv: 1512.06572 · arxiv_version: 1512.06572v1 · doi: 10.48550/arxiv.1512.06572 · pith_short_12: FOAVGJFOJDJR · pith_short_16: FOAVGJFOJDJRTQAV · pith_short_8: FOAVGJFO

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/FOAVGJFOJDJRTQAV2ICLCKF5K5 \
  | 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: 2b815324ae48d319c015d204b128bd575fd36a2bba70a3a349e607d63222dcad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9c76a23a332a60420a2494bd2d9e2e63366626c2c06348527ac0c1f306e4c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-21T10:40:52Z",
    "title_canon_sha256": "8516f5f440e3a046b20a625c9259749cb619c78ee6b03e99bab3d4ca402692e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06572",
    "kind": "arxiv",
    "version": 1
  }
}