Pith Number

pith:THNST5M7

pith:2018:THNST5M7YET3ZR6EHEZSM7JX3T

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:1802.04385 v1 · 2018-02-12 · cs.NA · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THNST5M7YET3ZR6EHEZSM7JX3T}

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	2026-05-18T00:23:44.335247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99db29f59fc127bcc7c43933267d37dcc336d9c53cd24d286a6f65f11ad37142

Aliases

arxiv: 1802.04385 · arxiv_version: 1802.04385v1 · doi: 10.48550/arxiv.1802.04385 · pith_short_12: THNST5M7YET3 · pith_short_16: THNST5M7YET3ZR6E · pith_short_8: THNST5M7

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/THNST5M7YET3ZR6EHEZSM7JX3T \
  | 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: 99db29f59fc127bcc7c43933267d37dcc336d9c53cd24d286a6f65f11ad37142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ccc88752b5c2ae7e59cf69dd478f877e707a1e8379adc7c43c520116cb17b1",
    "cross_cats_sorted": [
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2018-02-12T22:56:20Z",
    "title_canon_sha256": "e645eb0b1fd60e14e226e35a03136f4099a35a06a3fa7163b926a84b19a57f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04385",
    "kind": "arxiv",
    "version": 1
  }
}