Pith Number

pith:MBWYJH4V

pith:2024:MBWYJH4VYRDKYQEBCTNT3EDYI3

not attested not anchored not stored refs pending

Understanding the Difficulty of Solving Cauchy Problems with PINNs

Bo Zhao, Rose Yu, Sicun Gao, Tao Wang

arxiv:2405.02561 v2 · 2024-05-04 · cs.LG · cs.NA · math.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{MBWYJH4VYRDKYQEBCTNT3EDYI3}

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	2026-07-05T08:33:39.500719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

606d849f95c446ac408114db3d907846e191078ec9ea81163c484d408b5ce5fb

Aliases

arxiv: 2405.02561 · arxiv_version: 2405.02561v2 · doi: 10.48550/arxiv.2405.02561 · pith_short_12: MBWYJH4VYRDK · pith_short_16: MBWYJH4VYRDKYQEB · pith_short_8: MBWYJH4V

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/MBWYJH4VYRDKYQEBCTNT3EDYI3 \
  | 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: 606d849f95c446ac408114db3d907846e191078ec9ea81163c484d408b5ce5fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdee334b993721637b41e60a5fe79529be49fe5a483b945e37c2e537b0a3d58e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-04T04:22:52Z",
    "title_canon_sha256": "35cc39bb5ec2f428311c1dd679dcf95bdef15521495ae43875b551ce13ab3155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.02561",
    "kind": "arxiv",
    "version": 2
  }
}