Pith Number

pith:PRH5QZOI

pith:2012:PRH5QZOIMZP77X33SYXL6HEDUH

not attested not anchored not stored refs pending

Fast summation by interval clustering for an evolution equation with memory

William McLean

arxiv:1203.4032 v1 · 2012-03-19 · 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{PRH5QZOIMZP77X33SYXL6HEDUH}

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	2026-05-18T01:21:39.843001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4fd865c8665fffdf7b962ebf1c83a1c05eae7b29fdc26ad608ebbd2056c7df

Aliases

arxiv: 1203.4032 · arxiv_version: 1203.4032v1 · doi: 10.48550/arxiv.1203.4032 · pith_short_12: PRH5QZOIMZP7 · pith_short_16: PRH5QZOIMZP77X33 · pith_short_8: PRH5QZOI

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/PRH5QZOIMZP77X33SYXL6HEDUH \
  | 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: 7c4fd865c8665fffdf7b962ebf1c83a1c05eae7b29fdc26ad608ebbd2056c7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20d937afe278f523f8f1d4b6dd8194bda6c049b8ec2d64ecc882c8ff7a08a75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-03-19T04:09:16Z",
    "title_canon_sha256": "1d713c3cff81b20b014e82880ac7993ad555f55c16148571ba1adedfdfc8e30d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4032",
    "kind": "arxiv",
    "version": 1
  }
}