Pith Number

pith:HDD7VRY3

pith:2020:HDD7VRY3DAKAU4LJTSQMCI33FY

not attested not anchored not stored refs pending

A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels

Timon S. Gutleb

arxiv:2005.06081 v1 · 2020-05-12 · math.NA · cs.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{HDD7VRY3DAKAU4LJTSQMCI33FY}

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	2026-07-05T03:10:49.434615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c7fac71b18140a71699ca0c1237b2e2a7307d794d32a03d3e12483092a25a8

Aliases

arxiv: 2005.06081 · arxiv_version: 2005.06081v1 · doi: 10.48550/arxiv.2005.06081 · pith_short_12: HDD7VRY3DAKA · pith_short_16: HDD7VRY3DAKAU4LJ · pith_short_8: HDD7VRY3

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/HDD7VRY3DAKAU4LJTSQMCI33FY \
  | 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: 38c7fac71b18140a71699ca0c1237b2e2a7307d794d32a03d3e12483092a25a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6009b62e1b75742127d03fcb14ca38f8f30f5fda2a95a089f7855a61de5a7d86",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-05-12T22:42:12Z",
    "title_canon_sha256": "93affb993f47f51af5ef9351bc37db245f1d7950e0c9d3fd94cca754253c9da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.06081",
    "kind": "arxiv",
    "version": 1
  }
}