Pith Number

pith:656FGF7K

pith:2025:656FGF7KAJ77W4S33HRWYK4DOB

not attested not anchored not stored refs pending

Sparse Discovery of Functional Relationships in Solutions to Systems of Differential Equations

Nicolae Tarfulea

arxiv:2507.15805 v2 · 2025-07-21 · math.OC · cs.IT · cs.NA · math.IT · 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{656FGF7KAJ77W4S33HRWYK4DOB}

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	2026-06-08T01:05:02.079448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f77c5317ea027ffb725bd9e36c2b83705fa9f465963f82f7a5ca12f09880f38a

Aliases

arxiv: 2507.15805 · arxiv_version: 2507.15805v2 · doi: 10.48550/arxiv.2507.15805 · pith_short_12: 656FGF7KAJ77 · pith_short_16: 656FGF7KAJ77W4S3 · pith_short_8: 656FGF7K

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/656FGF7KAJ77W4S33HRWYK4DOB \
  | 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: f77c5317ea027ffb725bd9e36c2b83705fa9f465963f82f7a5ca12f09880f38a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b9ab43e563f2697b916c294ca8fd04f420c1b1a0c5ff145fd49f16fc627528",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NA",
      "math.IT",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-21T17:05:12Z",
    "title_canon_sha256": "0e10edc2bc8f99a9164e80bd854177e4de481671b24a64509e0d1d12bf2eae02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15805",
    "kind": "arxiv",
    "version": 2
  }
}