Pith Number

pith:XADBQ5WG

pith:2010:XADBQ5WGVPOVPQN6AL6PI77O3K

not attested not anchored not stored refs pending

$X$- and $Y$-invariants of Linear Partial Differential Operators in the plane (In Russian)

Ekaterina Shemyakova

arxiv:1010.3418 v2 · 2010-10-17 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XADBQ5WGVPOVPQN6AL6PI77O3K}

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	2026-05-18T04:15:04.307147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8061876c6abdd57c1be02fcf47feeda827131507c38617f757c0bf952af51ed

Aliases

arxiv: 1010.3418 · arxiv_version: 1010.3418v2 · doi: 10.48550/arxiv.1010.3418 · pith_short_12: XADBQ5WGVPOV · pith_short_16: XADBQ5WGVPOVPQN6 · pith_short_8: XADBQ5WG

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/XADBQ5WGVPOVPQN6AL6PI77O3K \
  | 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: b8061876c6abdd57c1be02fcf47feeda827131507c38617f757c0bf952af51ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f15f2c81f7e19e9405c1ed30e8e4201d20581bf9d50f8d477ad6a8b5acddfb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-17T15:04:48Z",
    "title_canon_sha256": "c4926525debe0daa7ee5175d79ea73f94dcce9eed56983199eacb048d1f19c2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3418",
    "kind": "arxiv",
    "version": 2
  }
}