Pith Number

pith:UMO2POGU

pith:2016:UMO2POGUH4JC2WUANDZPWO74TL

not attested not anchored not stored refs pending

Stochastic invariance of closed sets for jump-diffusions with non-Lipschitz coefficients

Eduardo Abi Jaber (CEREMADE)

arxiv:1612.07647 v2 · 2016-12-22 · 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{UMO2POGUH4JC2WUANDZPWO74TL}

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	2026-05-18T00:34:42.079746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31da7b8d43f122d5a8068f2fb3bfc9ad2874164f32b91861cdcadf0b798e1ea

Aliases

arxiv: 1612.07647 · arxiv_version: 1612.07647v2 · doi: 10.48550/arxiv.1612.07647 · pith_short_12: UMO2POGUH4JC · pith_short_16: UMO2POGUH4JC2WUA · pith_short_8: UMO2POGU

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/UMO2POGUH4JC2WUANDZPWO74TL \
  | 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: a31da7b8d43f122d5a8068f2fb3bfc9ad2874164f32b91861cdcadf0b798e1ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b75898b3ded99b69dc5f526330ee1e7f0b0cc398d8d6f780324d1fc08f02c3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-22T15:30:19Z",
    "title_canon_sha256": "711168f888ad8f9074d3272e60091f0c60c83d686d23333661786f3f9eac452b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07647",
    "kind": "arxiv",
    "version": 2
  }
}