Pith Number

pith:S6MCLPMU

pith:2016:S6MCLPMUSIDL3UCEXFT7WN3SH3

not attested not anchored not stored refs pending

Certified Roundoff Error Bounds using Bernstein Expansions and Sparse Krivine-Stengle Representations

Alexandre Rocca, Thao Dang, Victor Magron

arxiv:1610.07038 v2 · 2016-10-22 · cs.NA

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6MCLPMUSIDL3UCEXFT7WN3SH3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:23:59.183827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979825bd949206bdd044b967fb37723edf183ddb992aadd6ce634641616b9c74

Aliases

arxiv: 1610.07038 · arxiv_version: 1610.07038v2 · doi: 10.48550/arxiv.1610.07038 · pith_short_12: S6MCLPMUSIDL · pith_short_16: S6MCLPMUSIDL3UCE · pith_short_8: S6MCLPMU

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/S6MCLPMUSIDL3UCEXFT7WN3SH3 \
  | 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: 979825bd949206bdd044b967fb37723edf183ddb992aadd6ce634641616b9c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316ee8e882767ef858c36a6843157b2e27214b1b50c2d954c67d024f0ed6c27e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2016-10-22T12:04:12Z",
    "title_canon_sha256": "e645eb0b1fd60e14e226e35a03136f4099a35a06a3fa7163b926a84b19a57f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07038",
    "kind": "arxiv",
    "version": 2
  }
}