Pith Number

pith:B7TSNC3P

pith:2017:B7TSNC3P6ELW3WPBP3PSKNMOBT

not attested not anchored not stored refs pending

Invariant measures for stochastic functional differential equations

Michael Scheutzow, Oleg Butkovsky

arxiv:1703.05120 v2 · 2017-03-15 · 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{B7TSNC3P6ELW3WPBP3PSKNMOBT}

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	2026-05-18T00:31:45.209438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fe7268b6ff1176dd9e17edf25358e0ce183c35f35bd7b9cc1a6d32129b5f481

Aliases

arxiv: 1703.05120 · arxiv_version: 1703.05120v2 · doi: 10.48550/arxiv.1703.05120 · pith_short_12: B7TSNC3P6ELW · pith_short_16: B7TSNC3P6ELW3WPB · pith_short_8: B7TSNC3P

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/B7TSNC3P6ELW3WPBP3PSKNMOBT \
  | 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: 0fe7268b6ff1176dd9e17edf25358e0ce183c35f35bd7b9cc1a6d32129b5f481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c7bdc6780438ecc7d8156b232d230f16946955a3754eac1ce6528dde5e39e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-15T12:27:37Z",
    "title_canon_sha256": "73f0ae73291b5a47c041ad306c7801064466cab6b201f2a41637caf6978d2c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05120",
    "kind": "arxiv",
    "version": 2
  }
}