Pith Number

pith:OVG2AGV3

pith:2013:OVG2AGV3EZR2IDKAQMA3RJK7LX

not attested not anchored not stored refs pending

General inner approximation of vector-valued functions

\'Eric Goubault, Michel Kieffer, Mullier Olivier, Sylvie Putot

arxiv:1310.1709 v1 · 2013-10-07 · cs.NA · 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{OVG2AGV3EZR2IDKAQMA3RJK7LX}

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	2026-05-18T03:11:10.920763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

754da01abb2663a40d408301b8a55f5dcf1f0395e3f7429dfa37c0269dbb9867

Aliases

arxiv: 1310.1709 · arxiv_version: 1310.1709v1 · doi: 10.48550/arxiv.1310.1709 · pith_short_12: OVG2AGV3EZR2 · pith_short_16: OVG2AGV3EZR2IDKA · pith_short_8: OVG2AGV3

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/OVG2AGV3EZR2IDKAQMA3RJK7LX \
  | 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: 754da01abb2663a40d408301b8a55f5dcf1f0395e3f7429dfa37c0269dbb9867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b0e36a79f72e4cea8692179e914d2dab8de6382a356b46ab861be97eccefb28",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2013-10-07T09:15:54Z",
    "title_canon_sha256": "20812b2726809780e4572b46cbce00c5f3f7de98b0b6165245c53c6b426b3b2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1709",
    "kind": "arxiv",
    "version": 1
  }
}