Pith Number

pith:ODI32LNZ

pith:2012:ODI32LNZFLGVOJCZRMX5RNUSCK

not attested not anchored not stored refs pending

Superfast solution of linear convolutional Volterra equations using QTT approximation

Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov, Jason A. Roberts

arxiv:1211.5384 v1 · 2012-11-22 · 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{ODI32LNZFLGVOJCZRMX5RNUSCK}

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	2026-05-18T03:08:04.385200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d1bd2db92acd5724598b2fd8b692129f9a8bfc185adbd3a5d0562831775ec3

Aliases

arxiv: 1211.5384 · arxiv_version: 1211.5384v1 · doi: 10.48550/arxiv.1211.5384 · pith_short_12: ODI32LNZFLGV · pith_short_16: ODI32LNZFLGVOJCZ · pith_short_8: ODI32LNZ

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/ODI32LNZFLGVOJCZRMX5RNUSCK \
  | 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: 70d1bd2db92acd5724598b2fd8b692129f9a8bfc185adbd3a5d0562831775ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e33e44fa5306c292a2463b7eb09609263d5672c8d4c899e2621fc84846f58ed5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-22T21:36:27Z",
    "title_canon_sha256": "6cbe3c17d3270a6019960c2fb4fee8c27950b50d81a8e9b2e3a5845a5f65678c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5384",
    "kind": "arxiv",
    "version": 1
  }
}