Pith Number

pith:VHZV4F4Y

pith:2012:VHZV4F4YBL6N66JAVL265WRZTD

not attested not anchored not stored refs pending

A low memory, highly concurrent multigrid algorithm

Mark F. Adams

arxiv:1207.6720 v3 · 2012-07-28 · math.NA · cs.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{VHZV4F4YBL6N66JAVL265WRZTD}

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	2026-06-03T23:07:23.549276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9f35e17980afcdf7920aaf5eeda3998c23da00d78d1032e202af27a7dd7d2db

Aliases

arxiv: 1207.6720 · arxiv_version: 1207.6720v3 · doi: 10.48550/arxiv.1207.6720 · pith_short_12: VHZV4F4YBL6N · pith_short_16: VHZV4F4YBL6N66JA · pith_short_8: VHZV4F4Y

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/VHZV4F4YBL6N66JAVL265WRZTD \
  | 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: a9f35e17980afcdf7920aaf5eeda3998c23da00d78d1032e202af27a7dd7d2db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5801dc7ab2332f2837d53ee76ec465da925f52b39fb3053130f37fa562fef377",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-07-28T19:01:06Z",
    "title_canon_sha256": "f8d46aa00118b378d0388d66d7e762f446d31d66c540295d531f93893a46f0f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6720",
    "kind": "arxiv",
    "version": 3
  }
}