Pith Number

pith:CCPBIV35

pith:2026:CCPBIV35VRA5TLATWSOMXAUTLL

not attested not anchored not stored refs pending

Learning to Optimize: Joint Routing and Flow Allocation on Sparse Non-Euclidean Networks

Congyuan Ji, Fang He, Haomiao Sun, Xindi Tang

arxiv:2607.23467 v1 · 2026-07-26 · 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{CCPBIV35VRA5TLATWSOMXAUTLL}

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	2026-07-28T01:22:54.063660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109e14577dac41d9ac13b49ccb82935af53ab9f3341d0d54306d53038103c6b0

Aliases

arxiv: 2607.23467 · arxiv_version: 2607.23467v1 · doi: 10.48550/arxiv.2607.23467 · pith_short_12: CCPBIV35VRA5 · pith_short_16: CCPBIV35VRA5TLAT · pith_short_8: CCPBIV35

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/CCPBIV35VRA5TLATWSOMXAUTLL \
  | 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: 109e14577dac41d9ac13b49ccb82935af53ab9f3341d0d54306d53038103c6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e07f95439b9815621feb818d9fad58a8088d81646cdac1b1a7f8868f45f45769",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-26T05:30:27Z",
    "title_canon_sha256": "321de8d6781b5292342245de378598b58b7daf6520c3ae1dd27ee5dc3f4e3f62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23467",
    "kind": "arxiv",
    "version": 1
  }
}