Pith Number

pith:A5VXSTFR

pith:2015:A5VXSTFRZI6T3JATHSTYHNYXSN

not attested not anchored not stored refs pending

Approximation of the high-frequency Helmholtz kernel by nested directional interpolation

Jens Markus Melenk, Steffen B\"orm

arxiv:1510.07189 v3 · 2015-10-24 · math.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{A5VXSTFRZI6T3JATHSTYHNYXSN}

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	2026-05-18T00:21:57.385075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

076b794cb1ca3d3da4133ca783b7179346bbd8a8197e70ff8362fe1b50cc87ee

Aliases

arxiv: 1510.07189 · arxiv_version: 1510.07189v3 · doi: 10.48550/arxiv.1510.07189 · pith_short_12: A5VXSTFRZI6T · pith_short_16: A5VXSTFRZI6T3JAT · pith_short_8: A5VXSTFR

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/A5VXSTFRZI6T3JATHSTYHNYXSN \
  | 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: 076b794cb1ca3d3da4133ca783b7179346bbd8a8197e70ff8362fe1b50cc87ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33745771079e70adf7bb624d59201799a2b3e26e69ea4691301a7df2dcb983d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-24T23:45:55Z",
    "title_canon_sha256": "c0cbda587fe7ae8c41bc44e45b865179268b8051bdbbc76832a2f84511318f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07189",
    "kind": "arxiv",
    "version": 3
  }
}