Pith Number

pith:D2PYXJIU

pith:2010:D2PYXJIULYFIPWAY3ZS5AXUBTE

not attested not anchored not stored refs pending

Symmetric parareal algorithms for Hamiltonian systems

C. Le Bris, F. Legoll, X. Dai, Y. Maday

arxiv:1011.6222 v1 · 2010-11-29 · 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{D2PYXJIULYFIPWAY3ZS5AXUBTE}

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	2026-05-18T04:34:36.174442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e9f8ba5145e0a87d818de65d05e819911a01b3d56a48d982fd1dc005ff0d2db

Aliases

arxiv: 1011.6222 · arxiv_version: 1011.6222v1 · doi: 10.48550/arxiv.1011.6222 · pith_short_12: D2PYXJIULYFI · pith_short_16: D2PYXJIULYFIPWAY · pith_short_8: D2PYXJIU

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/D2PYXJIULYFIPWAY3ZS5AXUBTE \
  | 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: 1e9f8ba5145e0a87d818de65d05e819911a01b3d56a48d982fd1dc005ff0d2db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e570fc2243b8a868dae567366950387ab2aacf096f7355cc1721d9cc4494635",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-11-29T13:22:28Z",
    "title_canon_sha256": "6413dd8058fabeeb94ff511e6e3b7976d62cef7a5093e5be8897aed5430ed72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6222",
    "kind": "arxiv",
    "version": 1
  }
}