Pith Number

pith:PLAI7FZR

pith:2019:PLAI7FZR3MOXZZ7XCLMSZRA4NX

not attested not anchored not stored refs pending

Optimization of a partial differential equation on a complex network

Martin Stoll, Max Winkler

arxiv:1907.07806 v1 · 2019-07-17 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLAI7FZR3MOXZZ7XCLMSZRA4NX}

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	2026-05-17T23:40:16.240214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac08f9731db1d7ce7f712d92cc41c6ddc3d0655323e88efe13ed6c21fe3a696

Aliases

arxiv: 1907.07806 · arxiv_version: 1907.07806v1 · doi: 10.48550/arxiv.1907.07806 · pith_short_12: PLAI7FZR3MOX · pith_short_16: PLAI7FZR3MOXZZ7X · pith_short_8: PLAI7FZR

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/PLAI7FZR3MOXZZ7XCLMSZRA4NX \
  | 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: 7ac08f9731db1d7ce7f712d92cc41c6ddc3d0655323e88efe13ed6c21fe3a696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f5c6b13d0ec98e992775658b27ea0a35a3372918efc206fc1ea32740920dad",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-17T23:06:46Z",
    "title_canon_sha256": "9f4a1e99d8f6ad2771124bdd0cd07ab3d7c48feb459e161c4bfa7a5e74e88be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07806",
    "kind": "arxiv",
    "version": 1
  }
}