Pith Number

pith:O4D7KR3M

pith:2005:O4D7KR3MYDDG4SMAMORUUZDL5L

not attested not anchored not stored refs pending

Elliptic CR-manifolds and shear invariant ODE with additional symmetries

Gerd Schmalz, Vladimir Ezhov

arxiv:math/0509173 v1 · 2005-09-07 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4D7KR3MYDDG4SMAMORUUZDL5L}

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	2026-05-18T02:27:08.721466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7707f5476cc0c66e498063a34a646bead6f3c7664a56fd415c81a942ec07e1b5

Aliases

arxiv: math/0509173 · arxiv_version: math/0509173v1 · doi: 10.48550/arxiv.math/0509173 · pith_short_12: O4D7KR3MYDDG · pith_short_16: O4D7KR3MYDDG4SMA · pith_short_8: O4D7KR3M

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/O4D7KR3MYDDG4SMAMORUUZDL5L \
  | 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: 7707f5476cc0c66e498063a34a646bead6f3c7664a56fd415c81a942ec07e1b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec40e85366637b59aa5a62968f6ed24c6250efaa32996df46c30d4e508094150",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2005-09-07T23:22:06Z",
    "title_canon_sha256": "3d264c9b50240d9dc4c7ba6afe66e1778a78979c402a976cc0e5ba19f4fbc97d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509173",
    "kind": "arxiv",
    "version": 1
  }
}