Pith Number

pith:WCBXPBWS

pith:2017:WCBXPBWSMNXPPOLOBNFFC4COQK

not attested not anchored not stored refs pending

Graph partitioning using matrix differential equations

Christian Lubich, Dominik Edelmann, Eleonora Andreotti, Nicola Guglielmi

arxiv:1712.05993 v1 · 2017-12-16 · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCBXPBWSMNXPPOLOBNFFC4COQK}

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	2026-05-18T00:27:51.340442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0837786d2636ef7b96e0b4a51704e82b6e5c7402b106308f99f1157d745a531

Aliases

arxiv: 1712.05993 · arxiv_version: 1712.05993v1 · doi: 10.48550/arxiv.1712.05993 · pith_short_12: WCBXPBWSMNXP · pith_short_16: WCBXPBWSMNXPPOLO · pith_short_8: WCBXPBWS

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/WCBXPBWSMNXPPOLOBNFFC4COQK \
  | 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: b0837786d2636ef7b96e0b4a51704e82b6e5c7402b106308f99f1157d745a531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb1f60d9d55d653f7f98a34dcd1357313a7b11809f37ba3f7fcbea04ea374a5",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-16T17:21:51Z",
    "title_canon_sha256": "1d0a9cb3508761889a47dea514e1297a2fde519afe7cb12f535553242d41afd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05993",
    "kind": "arxiv",
    "version": 1
  }
}