Pith Number

pith:K5VCLWXL

pith:2019:K5VCLWXLPBXDK37MDEZKDIKPLH

not attested not anchored not stored refs pending

GBDT and explicit solutions for the matrix coupled dispersionless equations (local and nonlocal cases)

Alexander Sakhnovich, Roman O. Popovych

arxiv:1907.08258 v1 · 2019-07-18 · math.AP · math-ph · math.MP · math.SP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5VCLWXLPBXDK37MDEZKDIKPLH}

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	2026-05-17T23:40:10.409108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

576a25daeb786e356fec1932a1a14f59f86bf539331fcf819f88b2b1579ead9a

Aliases

arxiv: 1907.08258 · arxiv_version: 1907.08258v1 · doi: 10.48550/arxiv.1907.08258 · pith_short_12: K5VCLWXLPBXD · pith_short_16: K5VCLWXLPBXDK37M · pith_short_8: K5VCLWXL

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/K5VCLWXLPBXDK37MDEZKDIKPLH \
  | 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: 576a25daeb786e356fec1932a1a14f59f86bf539331fcf819f88b2b1579ead9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2613bd97c79129a58b811034cfa23c177d2913b09add1f74991a4c5264408b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-18T19:27:35Z",
    "title_canon_sha256": "09d25037d575d6e8acd44809588d0f7a1ea7f97c668e834eb80b349957304f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08258",
    "kind": "arxiv",
    "version": 1
  }
}