Pith Number

pith:47OW43LY

pith:2010:47OW43LYSNHNUVIET2YAPDJZMY

not attested not anchored not stored refs pending

Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators with a Completely Factorable Symbol on the Plane

Ekaterina Shemyakova

arxiv:1010.3126 v1 · 2010-10-15 · 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{47OW43LYSNHNUVIET2YAPDJZMY}

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	2026-05-18T04:39:17.730476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7dd6e6d78934eda55049eb0078d39660ec3c469c17740180e936797e318954c

Aliases

arxiv: 1010.3126 · arxiv_version: 1010.3126v1 · doi: 10.48550/arxiv.1010.3126 · pith_short_12: 47OW43LYSNHN · pith_short_16: 47OW43LYSNHNUVIE · pith_short_8: 47OW43LY

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/47OW43LYSNHNUVIET2YAPDJZMY \
  | 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: e7dd6e6d78934eda55049eb0078d39660ec3c469c17740180e936797e318954c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c9054243909a1c5852b19e24c9dd80d7a2e49d4b7c3bbc5b9da4bf8e8f913b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-15T11:24:24Z",
    "title_canon_sha256": "80b8f64223b9de177469274b1b9e844900e25c4ea126c69f61ddfb4a1072ca95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3126",
    "kind": "arxiv",
    "version": 1
  }
}