Pith Number

pith:C4I2TBZ6

pith:2011:C4I2TBZ6XV5UIK24Q6OH4RSTTJ

not attested not anchored not stored refs pending

On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods

Miquel Grau-S\'anchez, Miquel Noguera, Sergio Amat

arxiv:1110.2281 v1 · 2011-10-11 · 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{C4I2TBZ6XV5UIK24Q6OH4RSTTJ}

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	2026-05-18T04:11:17.132421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1711a9873ebd7b442b5c879c7e46539a7fb14a4011de7916fec09f0f6ec85402

Aliases

arxiv: 1110.2281 · arxiv_version: 1110.2281v1 · doi: 10.48550/arxiv.1110.2281 · pith_short_12: C4I2TBZ6XV5U · pith_short_16: C4I2TBZ6XV5UIK24 · pith_short_8: C4I2TBZ6

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/C4I2TBZ6XV5UIK24Q6OH4RSTTJ \
  | 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: 1711a9873ebd7b442b5c879c7e46539a7fb14a4011de7916fec09f0f6ec85402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8954fb85c42a7bcf33121c504aba7fcdf88d8a9c734ccde86c3621cc821d199f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-10-11T06:14:47Z",
    "title_canon_sha256": "121f44799ce20a416a8ae52da2c4f96c0958eacfd6a1e9575e1fb9d27680c6c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2281",
    "kind": "arxiv",
    "version": 1
  }
}