Pith Number

pith:VQEXPRRZ

pith:2013:VQEXPRRZOETEVCOZP4KO352OKF

not attested not anchored not stored refs pending

Strong solutions to stochastic differential equations with rough coefficients

Nicolas Champagnat, Pierre-Emmanuel Jabin

arxiv:1303.2611 v1 · 2013-03-11 · 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{VQEXPRRZOETEVCOZP4KO352OKF}

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	2026-05-18T03:31:18.494553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0977c63971264a89d97f14edf74e515a8cfadee58172f342282f8a783e3e0e

Aliases

arxiv: 1303.2611 · arxiv_version: 1303.2611v1 · doi: 10.48550/arxiv.1303.2611 · pith_short_12: VQEXPRRZOETE · pith_short_16: VQEXPRRZOETEVCOZ · pith_short_8: VQEXPRRZ

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/VQEXPRRZOETEVCOZP4KO352OKF \
  | 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: ac0977c63971264a89d97f14edf74e515a8cfadee58172f342282f8a783e3e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b8d906289b83c02fc57de739b438de05086a5f2e517bed9cf1ce41ceaf9972",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-11T18:35:13Z",
    "title_canon_sha256": "cccd8a9c4398b4a83c01627a5f01d0d3b2e8da4b6acce21933e125b746add89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2611",
    "kind": "arxiv",
    "version": 1
  }
}