Pith Number

pith:XOMRNT4M

pith:2009:XOMRNT4MWQ3G4WZQHELCRM65XU

not attested not anchored not stored refs pending

The algebra of integro-differential operators on a polynomial algebra

V. V. Bavula

arxiv:0912.0723 v2 · 2009-12-03 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOMRNT4MWQ3G4WZQHELCRM65XU}

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	2026-05-18T02:58:02.586082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb9916cf8cb4366e5b30391628b3ddbd0ba9d638c46efe9c9ced036c341676e7

Aliases

arxiv: 0912.0723 · arxiv_version: 0912.0723v2 · doi: 10.48550/arxiv.0912.0723 · pith_short_12: XOMRNT4MWQ3G · pith_short_16: XOMRNT4MWQ3G4WZQ · pith_short_8: XOMRNT4M

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/XOMRNT4MWQ3G4WZQHELCRM65XU \
  | 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: bb9916cf8cb4366e5b30391628b3ddbd0ba9d638c46efe9c9ced036c341676e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "471728c641effdbf0c1ccd59a58e30e57ca0ae81a49af22c2fe0174066ff3b9a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-12-03T20:20:12Z",
    "title_canon_sha256": "e229c640ae9b6c1c42899e8b8ef3464e29926ca3c04f58a58e63e45783573689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0723",
    "kind": "arxiv",
    "version": 2
  }
}