Pith Number

pith:PDZP4GC6

pith:2015:PDZP4GC6VIWNF6TK2UZIL3V26C

not attested not anchored not stored refs pending

Variants of the Empirical Interpolation Method: symmetric formulation, choice of norms and rectangular extension

Alexandre Ern, Fabien Casenave, Tony Leli\`evre

arxiv:1508.05330 v2 · 2015-08-21 · math.NA · cs.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{PDZP4GC6VIWNF6TK2UZIL3V26C}

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	2026-06-04T17:09:28.594017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f2fe185eaa2cd2fa6ad53285eebaf0b8ae94b9a68b8f43cfed1113330b46f7

Aliases

arxiv: 1508.05330 · arxiv_version: 1508.05330v2 · doi: 10.48550/arxiv.1508.05330 · pith_short_12: PDZP4GC6VIWN · pith_short_16: PDZP4GC6VIWNF6TK · pith_short_8: PDZP4GC6

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/PDZP4GC6VIWNF6TK2UZIL3V26C \
  | 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: 78f2fe185eaa2cd2fa6ad53285eebaf0b8ae94b9a68b8f43cfed1113330b46f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272ca57278e8c2e89abc4365671a4c04572eb1722e5b08bb61d5a511c19881bf",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-08-21T16:33:31Z",
    "title_canon_sha256": "0e15b949d171275ab1302a72c02fbebe7ce3e8a3914b6bead0a63cfb835b3ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05330",
    "kind": "arxiv",
    "version": 2
  }
}