Pith Number

pith:GW7XNYSM

pith:2010:GW7XNYSMCDALXUKTSE6NEH5MTO

not attested not anchored not stored refs pending

Obstacles to the Factorization of Linear Partial Differential Operators into Several Factors

Ekaterina Shemyakova, Franz Winkler

arxiv:1010.2652 v1 · 2010-10-13 · 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{GW7XNYSMCDALXUKTSE6NEH5MTO}

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	2026-05-18T04:39:19.887285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35bf76e24c10c0bbd153913cd21fac9ba6278ca6d1e03ec5bfbe48dff5120c8e

Aliases

arxiv: 1010.2652 · arxiv_version: 1010.2652v1 · doi: 10.48550/arxiv.1010.2652 · pith_short_12: GW7XNYSMCDAL · pith_short_16: GW7XNYSMCDALXUKT · pith_short_8: GW7XNYSM

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/GW7XNYSMCDALXUKTSE6NEH5MTO \
  | 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: 35bf76e24c10c0bbd153913cd21fac9ba6278ca6d1e03ec5bfbe48dff5120c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec8d7e339bca4bbe0a5ad2b2f67d8e6c7010afe2f3ff0a699e76fb9ab921847",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-13T13:08:18Z",
    "title_canon_sha256": "efeebf5e22b47219c61ebc772490579ea61adc1c9be1085c642eb9ac5901a973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2652",
    "kind": "arxiv",
    "version": 1
  }
}