Pith Number

pith:Y2LNMCWU

pith:2010:Y2LNMCWUMYJ6HUX3RUXCEUTRDE

not attested not anchored not stored refs pending

Multiple Factorizations of Bivariate Linear Partial Differential Operators

Ekaterina Shemyakova

arxiv:1010.3497 v1 · 2010-10-18 · 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{Y2LNMCWUMYJ6HUX3RUXCEUTRDE}

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	2026-05-18T02:05:03.971517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c696d60ad46613e3d2fb8d2e2252711931658fc3eef81be0a5515b51f68cbaca

Aliases

arxiv: 1010.3497 · arxiv_version: 1010.3497v1 · doi: 10.48550/arxiv.1010.3497 · pith_short_12: Y2LNMCWUMYJ6 · pith_short_16: Y2LNMCWUMYJ6HUX3 · pith_short_8: Y2LNMCWU

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/Y2LNMCWUMYJ6HUX3RUXCEUTRDE \
  | 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: c696d60ad46613e3d2fb8d2e2252711931658fc3eef81be0a5515b51f68cbaca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e86ec3d89e7664470419d84afbfce5e05abc1f7ae5488090bb6ad3f1ebd354",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-18T06:51:36Z",
    "title_canon_sha256": "e2ea9927d9293d80b05d335171b06f306a47e4a554e60c0ef24f8254984a72ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3497",
    "kind": "arxiv",
    "version": 1
  }
}