Pith Number

pith:WGSCFSFU

pith:2020:WGSCFSFUVY4L6NIBVNKTPIPKRD

not attested not anchored not stored refs pending

Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis

Eric Vanden-Eijnden, Georg Stadler, Shanyin Tong

arxiv:2007.13930 v7 · 2020-07-28 · math.OC · cs.NA · math.NA · math.PR · stat.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGSCFSFUVY4L6NIBVNKTPIPKRD}

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	2026-07-05T11:51:11.462356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1a422c8b4ae38bf3501ab5537a1ea88c12bb7d221fdae0950f4362c29f7d797

Aliases

arxiv: 2007.13930 · arxiv_version: 2007.13930v7 · doi: 10.48550/arxiv.2007.13930 · pith_short_12: WGSCFSFUVY4L · pith_short_16: WGSCFSFUVY4L6NIB · pith_short_8: WGSCFSFU

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/WGSCFSFUVY4L6NIBVNKTPIPKRD \
  | 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: b1a422c8b4ae38bf3501ab5537a1ea88c12bb7d221fdae0950f4362c29f7d797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0364556fa409cd0e048658c6a9d44df1fea2fd23c38e748bb5975cf79c3ff194",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.PR",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-07-28T01:19:26Z",
    "title_canon_sha256": "3391135cd48197f3283677e87525ca963106e21422c3877d92e9b6eb2699937a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.13930",
    "kind": "arxiv",
    "version": 7
  }
}