Pith Number

pith:DTWNFJ6O

pith:2008:DTWNFJ6OBODRPJV72TT5XOWU3U

not attested not anchored not stored refs pending

Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators

Daniel Alpay, Jussi Behrndt

arxiv:0807.0095 v1 · 2008-07-01 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTWNFJ6OBODRPJV72TT5XOWU3U}

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	2026-05-18T03:55:22.305555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cecd2a7ce0b8717a6bfd4e7dbbad4dd0d4d9eaf459bb2a225cab47fbf3f68a7

Aliases

arxiv: 0807.0095 · arxiv_version: 0807.0095v1 · doi: 10.48550/arxiv.0807.0095 · pith_short_12: DTWNFJ6OBODR · pith_short_16: DTWNFJ6OBODRPJV7 · pith_short_8: DTWNFJ6O

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/DTWNFJ6OBODRPJV72TT5XOWU3U \
  | 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: 1cecd2a7ce0b8717a6bfd4e7dbbad4dd0d4d9eaf459bb2a225cab47fbf3f68a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153e35510661f3804822415676182b2a34b12c1aa0b77d43b007535b5a7056c6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-07-01T09:58:51Z",
    "title_canon_sha256": "70ee74bf81ebdcafbf2bbb8bdca98ee52bd698a1c5d937a755ab3105e1fd05a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0095",
    "kind": "arxiv",
    "version": 1
  }
}