Pith Number

pith:V56WDUUK

pith:2010:V56WDUUKXS3U4HKY7KAQLROCGY

not attested not anchored not stored refs pending

Fast integral equation methods for the modified Helmholtz equation

Bryan Quaife, Mary-Catherine Kropinski

arxiv:1006.0008 v2 · 2010-05-31 · 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{V56WDUUKXS3U4HKY7KAQLROCGY}

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	2026-05-18T02:07:06.260954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7d61d28abcb74e1d58fa8105c5c2362108021c43c31acff1d6677da1aac48c

Aliases

arxiv: 1006.0008 · arxiv_version: 1006.0008v2 · doi: 10.48550/arxiv.1006.0008 · pith_short_12: V56WDUUKXS3U · pith_short_16: V56WDUUKXS3U4HKY · pith_short_8: V56WDUUK

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/V56WDUUKXS3U4HKY7KAQLROCGY \
  | 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: af7d61d28abcb74e1d58fa8105c5c2362108021c43c31acff1d6677da1aac48c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a563961f72dc6be657de75b38430437e1ffad50e97e472c45486b1b550ac3a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-05-31T20:09:54Z",
    "title_canon_sha256": "532aa123fb8ec045bbc9f1f063d93a471ea36db9967391d56309436e06b2fb12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0008",
    "kind": "arxiv",
    "version": 2
  }
}