Pith Number

pith:V65FYAD4

pith:2010:V65FYAD4MY22IRIJLGVMVVPNDT

not attested not anchored not stored refs pending

Fast integral equation methods for the heat equation and the modified Helmholtz equation in two dimensions

Bryan Quaife, Mary-Catherine Kropinski

arxiv:1007.5335 v1 · 2010-07-29 · 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{V65FYAD4MY22IRIJLGVMVVPNDT}

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	2026-05-18T04:42:45.420140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afba5c007c6635a4450959aacad5ed1cc7f7119a113f8e1a3dab48b70fd89a85

Aliases

arxiv: 1007.5335 · arxiv_version: 1007.5335v1 · doi: 10.48550/arxiv.1007.5335 · pith_short_12: V65FYAD4MY22 · pith_short_16: V65FYAD4MY22IRIJ · pith_short_8: V65FYAD4

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/V65FYAD4MY22IRIJLGVMVVPNDT \
  | 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: afba5c007c6635a4450959aacad5ed1cc7f7119a113f8e1a3dab48b70fd89a85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794aa438434296612693539a7dd78ef9b50845d21217b9482c0c7257bac52e6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-07-29T21:09:01Z",
    "title_canon_sha256": "61ebcfc9ee5603e270796403e912a9282516ad645dba2fd51f79924127ea4102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5335",
    "kind": "arxiv",
    "version": 1
  }
}