Pith Number

pith:O3JPUZ52

pith:2012:O3JPUZ526ENZ3TEY7UUWRTWWYN

not attested not anchored not stored refs pending

An introduction to Lie group integrators -- basics, new developments and applications

Brynjulf Owren, Elena Celledoni, H{\aa}kon Marthinsen

arxiv:1207.0069 v2 · 2012-06-30 · 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{O3JPUZ526ENZ3TEY7UUWRTWWYN}

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	2026-05-18T03:01:36.045106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76d2fa67baf11b9dcc98fd2968ced6c348af3391d69bae936a49b8f5d0f22fa5

Aliases

arxiv: 1207.0069 · arxiv_version: 1207.0069v2 · doi: 10.48550/arxiv.1207.0069 · pith_short_12: O3JPUZ526ENZ · pith_short_16: O3JPUZ526ENZ3TEY · pith_short_8: O3JPUZ52

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/O3JPUZ526ENZ3TEY7UUWRTWWYN \
  | 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: 76d2fa67baf11b9dcc98fd2968ced6c348af3391d69bae936a49b8f5d0f22fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "571d95773096845f8bd3de6ee5201f552a32aa1ace473f3eb6c8ed0a1fec2749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-06-30T09:54:48Z",
    "title_canon_sha256": "0db62aaa987cb5b0ea9f543fde65208d1b81672609a66490efa70a79830d6933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0069",
    "kind": "arxiv",
    "version": 2
  }
}