Pith Number

pith:2USHEGCR

pith:2019:2USHEGCRLWAQYUDFFUAYLLEBB2

not attested not anchored not stored refs pending

Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds

Ari Stern, Hans Z. Munthe-Kaas, Olivier Verdier

arxiv:1903.10056 v1 · 2019-03-24 · math.DG · cs.NA · math.NA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2USHEGCRLWAQYUDFFUAYLLEBB2}

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	2026-06-04T20:14:17.226622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5247218515d810c50652d0185ac810e97154544ec5bc518512018e9a3c70663

Aliases

arxiv: 1903.10056 · arxiv_version: 1903.10056v1 · doi: 10.48550/arxiv.1903.10056 · pith_short_12: 2USHEGCRLWAQ · pith_short_16: 2USHEGCRLWAQYUDF · pith_short_8: 2USHEGCR

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/2USHEGCRLWAQYUDFFUAYLLEBB2 \
  | 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: d5247218515d810c50652d0185ac810e97154544ec5bc518512018e9a3c70663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a808392185e994b8df58a86b1cddedde53ef702f8aa6dec4ecc225d436ae5bac",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-24T20:25:40Z",
    "title_canon_sha256": "46bf9d08763238f6b922279998d1be96cd3fc785c572188560b70cd913805177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10056",
    "kind": "arxiv",
    "version": 1
  }
}