Pith Number

pith:WCIG6IPI

pith:2026:WCIG6IPIA7RWKT6RITGPRLDD76

not attested not anchored not stored refs pending

MPFlow: Learning Budgeted Max-Flow Optimization on the Lightning Network with Deep Graph Reinforcement Learning

Emanuele Rossi, Harrison Rush, Jesse Shrader, Simone Antonelli, Vikash Singh, Vincent Davis

arxiv:2607.08703 v1 · 2026-07-09 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCIG6IPIA7RWKT6RITGPRLDD76}

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	2026-07-10T01:19:58.003990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0906f21e807e3654fd144ccf8ac63ff9d900edee9191cef8f175f99ade9dbf3

Aliases

arxiv: 2607.08703 · arxiv_version: 2607.08703v1 · doi: 10.48550/arxiv.2607.08703 · pith_short_12: WCIG6IPIA7RW · pith_short_16: WCIG6IPIA7RWKT6R · pith_short_8: WCIG6IPI

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/WCIG6IPIA7RWKT6RITGPRLDD76 \
  | 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: b0906f21e807e3654fd144ccf8ac63ff9d900edee9191cef8f175f99ade9dbf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "081c479fb77bdc93ad495278d06b0752e98b06ac5f5021b5d43d75407429f948",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-09T17:09:20Z",
    "title_canon_sha256": "5ed9219885a27a4f280824ab9c1494ef5859d7571c472ce9c344ed2047b2cabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08703",
    "kind": "arxiv",
    "version": 1
  }
}