Pith Number

pith:YSBPAEOB

pith:2018:YSBPAEOBISDEZIXOWL6PDGXKPK

not attested not anchored not stored refs pending

A Comparison of Automatic Differentiation and Continuous Sensitivity Analysis for Derivatives of Differential Equation Solutions

Christopher Rackauckas, Mike Innes, Vaibhav Dixit, Xingjian Guo, Yingbo Ma

arxiv:1812.01892 v2 · 2018-12-05 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSBPAEOBISDEZIXOWL6PDGXKPK}

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

3 papers in Pith

Parameter Estimation and Uncertainty Quantification for Systems Biology Models

A Differentiable Programming System to Bridge Machine Learning and Scientific Computing

Universal Differential Equations for Scientific Machine Learning

Receipt and verification

First computed	2026-06-04T20:13:45.636865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c482f011c144864ca2eeb2fcf19aea7aac9e46e469bdee87aba213c7682e215c

Aliases

arxiv: 1812.01892 · arxiv_version: 1812.01892v2 · doi: 10.48550/arxiv.1812.01892 · pith_short_12: YSBPAEOBISDE · pith_short_16: YSBPAEOBISDEZIXO · pith_short_8: YSBPAEOB

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/YSBPAEOBISDEZIXOWL6PDGXKPK \
  | 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: c482f011c144864ca2eeb2fcf19aea7aac9e46e469bdee87aba213c7682e215c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513a406c7e237feba44bc0c0ad96e3e5d091a24dfc5bbd592ca2e272c8269a76",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-05T10:15:32Z",
    "title_canon_sha256": "519b0184f8de1ed03f3a441b394758c466cd10752f967c1c8c09af51056dd2c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01892",
    "kind": "arxiv",
    "version": 2
  }
}