Pith Number

pith:BFVNKURC

pith:2010:BFVNKURCOZ3EVOBZH2TOAH64HE

not attested not anchored not stored refs pending

On the reduction of the degree of linear differential operators

Lubomir Gavrilov, Marcin Bobie\'nski

arxiv:1003.0629 v1 · 2010-03-02 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFVNKURCOZ3EVOBZH2TOAH64HE}

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	2026-05-18T02:08:47.492655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096ad5522276764ab8393ea6e01fdc391dc39f552547a5e001c34d6e42eddf9e

Aliases

arxiv: 1003.0629 · arxiv_version: 1003.0629v1 · doi: 10.48550/arxiv.1003.0629 · pith_short_12: BFVNKURCOZ3E · pith_short_16: BFVNKURCOZ3EVOBZ · pith_short_8: BFVNKURC

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/BFVNKURCOZ3EVOBZH2TOAH64HE \
  | 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: 096ad5522276764ab8393ea6e01fdc391dc39f552547a5e001c34d6e42eddf9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe9a8d43e8f2d323b2500c9985c2b8d03a609dff3472f826fd1c77a83c7de343",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-02T16:56:42Z",
    "title_canon_sha256": "84a28a3fe1ef1729dc6fc1da42c4a6578d997d3c5ca5e9f1b923475a09b4f3d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0629",
    "kind": "arxiv",
    "version": 1
  }
}