Pith Number

pith:Q4WI5P77

pith:2017:Q4WI5P77TZIDCK3XEBMSLRYF3L

not attested not anchored not stored refs pending

Solving differential equations with unknown constitutive relations as recurrent neural networks

Alexandre M. Tartakovsky, Enoch Yeung, Panos Stinis, Tobias Hagge

arxiv:1710.02242 v1 · 2017-10-06 · cs.LG · 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{Q4WI5P77TZIDCK3XEBMSLRYF3L}

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	2026-05-18T00:33:34.042842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872c8ebfff9e50312b77205925c705dacb5e1c6a27fe0aa778c3f8c9f677f5d3

Aliases

arxiv: 1710.02242 · arxiv_version: 1710.02242v1 · doi: 10.48550/arxiv.1710.02242 · pith_short_12: Q4WI5P77TZID · pith_short_16: Q4WI5P77TZIDCK3X · pith_short_8: Q4WI5P77

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/Q4WI5P77TZIDCK3XEBMSLRYF3L \
  | 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: 872c8ebfff9e50312b77205925c705dacb5e1c6a27fe0aa778c3f8c9f677f5d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f9fc1f06398dec5d5aad488e6d60aeba62dfc10dbff4fbcacd90ed85ff1003f",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2017-10-06T00:14:52Z",
    "title_canon_sha256": "8c1f97741f282e52ccfee36e9fce3548b925bbd43b084fa32fee8bd537b23a8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02242",
    "kind": "arxiv",
    "version": 1
  }
}