Pith Number

pith:GUMRW4RX

pith:2021:GUMRW4RXVEGVO553NX5BN4RPYK

not attested not anchored not stored refs pending

The Multivariate Theory of Functional Connections: An n-Dimensional Constraint Embedding Technique Applied to Partial Differential Equations

Carl Leake

arxiv:2105.07070 v2 · 2021-05-14 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUMRW4RXVEGVO553NX5BN4RPYK}

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	2026-07-05T03:24:42.839702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35191b7237a90d5777bb6dfa16f22fc2b194884685e921db9a6a490d5e963e39

Aliases

arxiv: 2105.07070 · arxiv_version: 2105.07070v2 · doi: 10.48550/arxiv.2105.07070 · pith_short_12: GUMRW4RXVEGV · pith_short_16: GUMRW4RXVEGVO553 · pith_short_8: GUMRW4RX

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/GUMRW4RXVEGVO553NX5BN4RPYK \
  | 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: 35191b7237a90d5777bb6dfa16f22fc2b194884685e921db9a6a490d5e963e39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3fa2b78788a11d6d9447b75eb71fc77de569dbc035dc70b863a62d183b3a25c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-05-14T21:16:44Z",
    "title_canon_sha256": "f2976a760541507f369abf73faba702a4f3c8c7b76b94f34488374fbb801e0eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.07070",
    "kind": "arxiv",
    "version": 2
  }
}