Pith Number

pith:E5SMOT5L

pith:2005:E5SMOT5L4WSBZUSK7WRGHZ6FFY

not attested not anchored not stored refs pending

Symmetries of modules of differential operators

Hichem Gargoubi, Pierre Mathonet, Valentin Ovsienko (ICJ)

arxiv:math-ph/0506044 v1 · 2005-06-16 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5SMOT5L4WSBZUSK7WRGHZ6FFY}

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	2026-05-18T01:38:33.143648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2764c74fabe5a41cd24afda263e7c52e1accc25a88e35de66579a285e864ccfc

Aliases

arxiv: math-ph/0506044 · arxiv_version: math-ph/0506044v1 · doi: 10.48550/arxiv.math-ph/0506044 · pith_short_12: E5SMOT5L4WSB · pith_short_16: E5SMOT5L4WSBZUSK · pith_short_8: E5SMOT5L

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/E5SMOT5L4WSBZUSK7WRGHZ6FFY \
  | 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: 2764c74fabe5a41cd24afda263e7c52e1accc25a88e35de66579a285e864ccfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3de905eca7ef20aab2679697033c013fcd8b58c36c9f896c4709f0bf68ae6a3",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-06-16T14:50:54Z",
    "title_canon_sha256": "836f83bce07de0b0d887387ad08ba98e8954c5a00cfbfe13bae45a915370a0dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0506044",
    "kind": "arxiv",
    "version": 1
  }
}