Pith Number

pith:QGZ7S2V5

pith:2020:QGZ7S2V5XEF6JSTFPJRDY3OETV

not attested not anchored not stored refs pending

A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations

Alex Blumenthal, Jacob Bedrossian, Sam Punshon-Smith

arxiv:2007.15827 v3 · 2020-07-31 · math.DS · math.AP · 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{QGZ7S2V5XEF6JSTFPJRDY3OETV}

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.

Cited by

1 paper in Pith

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing

Receipt and verification

First computed	2026-07-05T04:45:35.953846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b3f96abdb90be4ca657a623c6dc49d4c3a591d2a02c47c4207c1f45662bd46

Aliases

arxiv: 2007.15827 · arxiv_version: 2007.15827v3 · doi: 10.48550/arxiv.2007.15827 · pith_short_12: QGZ7S2V5XEF6 · pith_short_16: QGZ7S2V5XEF6JSTF · pith_short_8: QGZ7S2V5

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/QGZ7S2V5XEF6JSTFPJRDY3OETV \
  | 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: 81b3f96abdb90be4ca657a623c6dc49d4c3a591d2a02c47c4207c1f45662bd46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb49c2cb802580bb2574ee1472c30388f6ceae9c0b0f2cfd0684d68fc88b8cf5",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-07-31T03:43:05Z",
    "title_canon_sha256": "15460928e601174eaf150504517b811255222d8efc900237952d05aa31a4efbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.15827",
    "kind": "arxiv",
    "version": 3
  }
}