Pith Number

pith:Y2IQKKF6

pith:2013:Y2IQKKF6KNPD35VRNMM4HZ2M5N

not attested not anchored not stored refs pending

Jump-diffusion processes in random environments

Jacek Jakubowski, Mariusz Niew\k{e}g{\l}owski

arxiv:1305.4129 v2 · 2013-05-17 · 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{Y2IQKKF6KNPD35VRNMM4HZ2M5N}

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	2026-05-18T03:18:08.788634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6910528be535e3df6b16b19c3e74ceb76bc899dee4be50ea2cf62d729971c88

Aliases

arxiv: 1305.4129 · arxiv_version: 1305.4129v2 · doi: 10.48550/arxiv.1305.4129 · pith_short_12: Y2IQKKF6KNPD · pith_short_16: Y2IQKKF6KNPD35VR · pith_short_8: Y2IQKKF6

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/Y2IQKKF6KNPD35VRNMM4HZ2M5N \
  | 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: c6910528be535e3df6b16b19c3e74ceb76bc899dee4be50ea2cf62d729971c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65c6ca65b2eacd2d8eeef1718aaaaefd848f1ab7b572da0929f4b2441e6edce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-17T16:39:32Z",
    "title_canon_sha256": "fb8d0c6443095852c697ad44f7f0b5a3f186cec8c5f8c3353f11598e0d52a748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4129",
    "kind": "arxiv",
    "version": 2
  }
}