Pith Number

pith:AVBZM2RE

pith:2010:AVBZM2REOM7LKYYKAIZJGBPLPG

not attested not anchored not stored refs pending

On Computing Groebner Basis in the Rings of Differential Operators

Dingkang Wang, Xiaodong Ma, Yao Sun

arxiv:1004.2090 v2 · 2010-04-13 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVBZM2REOM7LKYYKAIZJGBPLPG}

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	2026-05-18T02:08:06.343136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0543966a24733eb5630a02329305eb79ae3e0b903c53e86a1cd3e123ab8136e4

Aliases

arxiv: 1004.2090 · arxiv_version: 1004.2090v2 · doi: 10.48550/arxiv.1004.2090 · pith_short_12: AVBZM2REOM7L · pith_short_16: AVBZM2REOM7LKYYK · pith_short_8: AVBZM2RE

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/AVBZM2REOM7LKYYKAIZJGBPLPG \
  | 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: 0543966a24733eb5630a02329305eb79ae3e0b903c53e86a1cd3e123ab8136e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a284b7e5608b38c7c34f84cbb97146f68a856845c33501e72fd64176af351093",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2010-04-13T01:59:38Z",
    "title_canon_sha256": "18417a3c745b05ebb4441c3d27a7764acc9368b2f02a921e3a2c5a2aef486de1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2090",
    "kind": "arxiv",
    "version": 2
  }
}