Pith Number

pith:U2Y3S7V3

pith:2013:U2Y3S7V33XVXE2GWRDP2QIJ2PO

not attested not anchored not stored refs pending

Collective symplectic integrators

Klas Modin, Olivier Verdier, Robert I McLachlan

arxiv:1308.6620 v1 · 2013-08-29 · 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{U2Y3S7V33XVXE2GWRDP2QIJ2PO}

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	2026-05-18T02:50:50.524620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b1b97ebbddeb7268d688dfa8213a7b96f865aa3cdaf51bf59e8917ab1857bf

Aliases

arxiv: 1308.6620 · arxiv_version: 1308.6620v1 · doi: 10.48550/arxiv.1308.6620 · pith_short_12: U2Y3S7V33XVX · pith_short_16: U2Y3S7V33XVXE2GW · pith_short_8: U2Y3S7V3

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/U2Y3S7V33XVXE2GWRDP2QIJ2PO \
  | 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: a6b1b97ebbddeb7268d688dfa8213a7b96f865aa3cdaf51bf59e8917ab1857bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936f341ad3e8750adc2a14537c954a1e7a5289246b93967d58753bec65812d91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-08-29T22:56:47Z",
    "title_canon_sha256": "249cff32c4b2e9c4e0dc5bd239c974081cc059f0a6dff26f4e7a7dfb5e8132de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6620",
    "kind": "arxiv",
    "version": 1
  }
}