Pith Number

pith:US5YDWJY

pith:2018:US5YDWJYC7NNW3LOYXAGYNQAYK

not attested not anchored not stored refs pending

Deep Theory of Functional Connections: A New Method for Estimating the Solutions of PDEs

Carl Leake

arxiv:1812.08625 v3 · 2018-12-20 · math.NA · cs.LG · cs.NA · physics.comp-ph · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{US5YDWJYC7NNW3LOYXAGYNQAYK}

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	2026-06-04T20:13:49.481770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4bb81d93817dadb6d6ec5c06c3600c280e9ff6c94745d0be20af226d7cf2612

Aliases

arxiv: 1812.08625 · arxiv_version: 1812.08625v3 · doi: 10.48550/arxiv.1812.08625 · pith_short_12: US5YDWJYC7NN · pith_short_16: US5YDWJYC7NNW3LO · pith_short_8: US5YDWJY

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/US5YDWJYC7NNW3LOYXAGYNQAYK \
  | 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: a4bb81d93817dadb6d6ec5c06c3600c280e9ff6c94745d0be20af226d7cf2612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f14ce932a4c1a49f0ee22fe3f3e0339ca3a6fe2786d02d3e933cf88e415826",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "physics.comp-ph",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-20T15:05:25Z",
    "title_canon_sha256": "c48e379f835bd121f9d4dc18659de7f62605e0ba534537777fc5559fd7c23e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08625",
    "kind": "arxiv",
    "version": 3
  }
}