Pith Number

pith:3PTIZ4N7

pith:2014:3PTIZ4N7L3WIH2O5ASOFSOQWF3

not attested not anchored not stored refs pending

Optimal bounds for the densities of solutions of SDEs with measurable and path dependent drift coefficients

David Ba\~nos, Paul Kr\"uhner

arxiv:1408.2386 v5 · 2014-08-11 · 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{3PTIZ4N7L3WIH2O5ASOFSOQWF3}

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	2026-05-18T01:36:01.938877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe68cf1bf5eec83e9dd049c593a162ee9b6e61ab64f571097e6e6c72821dd0f

Aliases

arxiv: 1408.2386 · arxiv_version: 1408.2386v5 · doi: 10.48550/arxiv.1408.2386 · pith_short_12: 3PTIZ4N7L3WI · pith_short_16: 3PTIZ4N7L3WIH2O5 · pith_short_8: 3PTIZ4N7

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/3PTIZ4N7L3WIH2O5ASOFSOQWF3 \
  | 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: dbe68cf1bf5eec83e9dd049c593a162ee9b6e61ab64f571097e6e6c72821dd0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6f2a47649302dc9a207b60c1d9666b94cf68d773e5a14a10eb638d7760b141",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-11T12:21:44Z",
    "title_canon_sha256": "298b19168c5e3cefc08555ac4c65796801018e5b938d5ea54af5c17e67f2d29e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2386",
    "kind": "arxiv",
    "version": 5
  }
}