Pith Number

pith:E5VYK6PF

pith:2026:E5VYK6PFFT7S4TZH7GJOJEASYS

not attested not anchored not stored refs pending

An Explicit Higher-Order Dual Basis for a Multiplicatively Calder\'on Preconditioned Electric Field Integral Equation

Bernd Hofmann, Francesco P. Andriulli, Simon B. Adrian, Thomas F. Eibert

arxiv:2607.08848 v1 · 2026-07-09 · math.NA · cs.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5VYK6PFFT7S4TZH7GJOJEASYS}

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	2026-07-13T00:17:21.842628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276b8579e52cff2e4f27f992e49012c48880d4c71062990894b62e42f872fb0b

Aliases

arxiv: 2607.08848 · arxiv_version: 2607.08848v1 · doi: 10.48550/arxiv.2607.08848 · pith_short_12: E5VYK6PFFT7S · pith_short_16: E5VYK6PFFT7S4TZH · pith_short_8: E5VYK6PF

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/E5VYK6PFFT7S4TZH7GJOJEASYS \
  | 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: 276b8579e52cff2e4f27f992e49012c48880d4c71062990894b62e42f872fb0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54919811885ca55c7cb02411bb6eb4a1ebd24d0fe39b1bda946788c64d58fa5b",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-09T18:14:38Z",
    "title_canon_sha256": "fe1433d1b0f2ab4b551cbfe6c24d83ecf0a9eb56e49ddcc6b94e47509897f8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08848",
    "kind": "arxiv",
    "version": 1
  }
}