Pith Number

pith:4G4JHEQY

pith:2013:4G4JHEQYJRSPC4CUWUPPNEI2IG

not attested not anchored not stored refs pending

Algorithms for computing the optimal Lipschitz constant of interpolants with Lipschitz derivative

Matthew J. Hirn

arxiv:1307.3292 v2 · 2013-07-11 · math.CA · 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{4G4JHEQYJRSPC4CUWUPPNEI2IG}

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	2026-05-18T01:17:10.529555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b89392184c64f17054b51ef6911a41b07a760cbcda5489654b4c464558428b

Aliases

arxiv: 1307.3292 · arxiv_version: 1307.3292v2 · doi: 10.48550/arxiv.1307.3292 · pith_short_12: 4G4JHEQYJRSP · pith_short_16: 4G4JHEQYJRSPC4CU · pith_short_8: 4G4JHEQY

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/4G4JHEQYJRSPC4CUWUPPNEI2IG \
  | 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: e1b89392184c64f17054b51ef6911a41b07a760cbcda5489654b4c464558428b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d0c39a3f66bfce0be66fab8857a507b1ed80e3d2f8bfdc66260467d9e4d7cd5",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-11T23:13:52Z",
    "title_canon_sha256": "e009ff933c8bf7f75bb36773350a222a22a60c887959e704d0099175b76c979e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3292",
    "kind": "arxiv",
    "version": 2
  }
}