Pith Number

pith:T6PC5EJA

pith:2007:T6PC5EJAPOZM2MRGWX7DZH4DU4

not attested not anchored not stored refs pending

Explicit representation of Green function for 3Dimensional exterior Helmholtz equation

E.L. Lakshtanov, P.Cruz

arxiv:0709.1929 v2 · 2007-09-12 · 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{T6PC5EJAPOZM2MRGWX7DZH4DU4}

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	2026-05-18T04:36:51.537492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9e2e91207bb2cd3226b5fe3c9f83a7045263d43c93e56b2276563522e263bc

Aliases

arxiv: 0709.1929 · arxiv_version: 0709.1929v2 · doi: 10.48550/arxiv.0709.1929 · pith_short_12: T6PC5EJAPOZM · pith_short_16: T6PC5EJAPOZM2MRG · pith_short_8: T6PC5EJA

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/T6PC5EJAPOZM2MRGWX7DZH4DU4 \
  | 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: 9f9e2e91207bb2cd3226b5fe3c9f83a7045263d43c93e56b2276563522e263bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c860c4cb0f1f66e22ec453d5aba3ff252aa6f29c1377aa994238a73d0094cf2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-09-12T16:47:41Z",
    "title_canon_sha256": "b299fb7b468355596bd024d86eb12d80eced4c043bfa4c535815fd103e0f687e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1929",
    "kind": "arxiv",
    "version": 2
  }
}