Pith Number

pith:6FAO2VCO

pith:2015:6FAO2VCOT4X6Z6UYF573T422G2

not attested not anchored not stored refs pending

Rough linear PDE's with discontinuous coefficients - existence of solutions via regularization by fractional Brownian motion

Torstein Nilssen

arxiv:1509.01154 v3 · 2015-09-03 · 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{6FAO2VCOT4X6Z6UYF573T422G2}

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	2026-05-18T00:12:35.864697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f140ed544e9f2fecfa982f7fb9f35a36b9966dc6b83cc19afd58e9fe4afe12df

Aliases

arxiv: 1509.01154 · arxiv_version: 1509.01154v3 · doi: 10.48550/arxiv.1509.01154 · pith_short_12: 6FAO2VCOT4X6 · pith_short_16: 6FAO2VCOT4X6Z6UY · pith_short_8: 6FAO2VCO

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/6FAO2VCOT4X6Z6UYF573T422G2 \
  | 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: f140ed544e9f2fecfa982f7fb9f35a36b9966dc6b83cc19afd58e9fe4afe12df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9954b5221c58dde146b80cf2c12b4e15dfd18764525b34598899ea410f2df2a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-03T16:42:21Z",
    "title_canon_sha256": "13665349f0edfed0df4fd1dd66b443953e40e8d8f7985ff094ce16523464efa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01154",
    "kind": "arxiv",
    "version": 3
  }
}