Pith Number

pith:VEUZLRSM

pith:2012:VEUZLRSM2D3BQC5LAVJLUL2KJ4

not attested not anchored not stored refs pending

A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations

Frederic Legoll, Giovanni Samaey, Tony Lelievre

arxiv:1204.5926 v2 · 2012-04-26 · 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{VEUZLRSM2D3BQC5LAVJLUL2KJ4}

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	2026-05-18T03:34:14.121714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a92995c64cd0f6180bab0552ba2f4a4f0f4fce1a2bffbfcae74a7b33b903e620

Aliases

arxiv: 1204.5926 · arxiv_version: 1204.5926v2 · doi: 10.48550/arxiv.1204.5926 · pith_short_12: VEUZLRSM2D3B · pith_short_16: VEUZLRSM2D3BQC5L · pith_short_8: VEUZLRSM

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/VEUZLRSM2D3BQC5LAVJLUL2KJ4 \
  | 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: a92995c64cd0f6180bab0552ba2f4a4f0f4fce1a2bffbfcae74a7b33b903e620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c99ec43ab70506d4ccf18ca5cfcf4b74cdb67fbe81c38135d06b7c3a8b00523",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-04-26T13:58:00Z",
    "title_canon_sha256": "eef87190760ad5bcd5f6772e9ef9d2b7b10ec9e0653d482d292db8d35eb3a866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5926",
    "kind": "arxiv",
    "version": 2
  }
}