Pith Number

pith:AW2XAXLQ

pith:2010:AW2XAXLQVK66Z7Y62SXW5EPGRH

not attested not anchored not stored refs pending

Refinement of Two-Factor Factorizations of a Linear Partial Differential Operator of Arbitrary Order and Dimension

Ekaterina Shemyakova

arxiv:1001.2004 v2 · 2010-01-12 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AW2XAXLQVK66Z7Y62SXW5EPGRH}

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	2026-05-18T04:39:28.840522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b5705d70aabdecff1ed4af6e91e689c0dc331b099a74dbd7e33fe8ff095b23

Aliases

arxiv: 1001.2004 · arxiv_version: 1001.2004v2 · doi: 10.48550/arxiv.1001.2004 · pith_short_12: AW2XAXLQVK66 · pith_short_16: AW2XAXLQVK66Z7Y6 · pith_short_8: AW2XAXLQ

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/AW2XAXLQVK66Z7Y62SXW5EPGRH \
  | 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: 05b5705d70aabdecff1ed4af6e91e689c0dc331b099a74dbd7e33fe8ff095b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82902233bb5af14b987af44e5a9119b0f2779a640a37a002afaeb1526c84d43f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-01-12T21:39:01Z",
    "title_canon_sha256": "cee83631444bd5f21b3ad36f35b060318e20bca7c27e1d8932b0caf64edf9898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2004",
    "kind": "arxiv",
    "version": 2
  }
}