Pith Number

pith:7N2LA3N4

pith:2017:7N2LA3N4RDJNOR6WTET4COIW6P

not attested not anchored not stored refs pending

Efficient approximation of functions of some large matrices by partial fraction expansions

Daniele Bertaccini, Fabio Durastante, Marina Popolizio

arxiv:1709.06351 v2 · 2017-09-19 · 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{7N2LA3N4RDJNOR6WTET4COIW6P}

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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	2026-06-04T19:10:59.939105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb74b06dbc88d2d747d69927c13916f3c6ebd9d4e07574bc9ba8990805c8bf04

Aliases

arxiv: 1709.06351 · arxiv_version: 1709.06351v2 · doi: 10.48550/arxiv.1709.06351 · pith_short_12: 7N2LA3N4RDJN · pith_short_16: 7N2LA3N4RDJNOR6W · pith_short_8: 7N2LA3N4

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/7N2LA3N4RDJNOR6WTET4COIW6P \
  | 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: fb74b06dbc88d2d747d69927c13916f3c6ebd9d4e07574bc9ba8990805c8bf04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "360caafa377cfc1fcb1a7ba0575607d124133f48089f3ab6b248bad8bf2d7a38",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-09-19T11:20:55Z",
    "title_canon_sha256": "aab9907a46d0a3c2b46640dfd3c5272a53f8b19f8b18b60236f6dfcd42ca2230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06351",
    "kind": "arxiv",
    "version": 2
  }
}