Pith Number

pith:NK4LCRD6

pith:2012:NK4LCRD6AV2VP6CCIJ7LSOA2XH

not attested not anchored not stored refs pending

Eigenfunction expansions for a fundamental solution of Laplace's equation on $\R^3$ in parabolic and elliptic cylinder coordinates

Hans Volkmer, Howard S. Cohl

arxiv:1204.6064 v1 · 2012-04-26 · math.AP · math-ph · math.CA · 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{NK4LCRD6AV2VP6CCIJ7LSOA2XH}

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	2026-05-18T01:57:43.509548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ab8b1447e057557f842427eb9381ab9d4a6c6d6bc82b1a1fa2a06255b324358

Aliases

arxiv: 1204.6064 · arxiv_version: 1204.6064v1 · doi: 10.48550/arxiv.1204.6064 · pith_short_12: NK4LCRD6AV2V · pith_short_16: NK4LCRD6AV2VP6CC · pith_short_8: NK4LCRD6

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/NK4LCRD6AV2VP6CCIJ7LSOA2XH \
  | 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: 6ab8b1447e057557f842427eb9381ab9d4a6c6d6bc82b1a1fa2a06255b324358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed3559b6c903188e93853bbee3129f0f06cc42ff7f302cad7809aed550450219",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-26T21:24:21Z",
    "title_canon_sha256": "74df9a4c6a414702505996127d5308c8327e7c49fc4b920dec65700b47442040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6064",
    "kind": "arxiv",
    "version": 1
  }
}