Pith Number

pith:VRA26IOG

pith:2023:VRA26IOGFIEGOW6U7XPBYV4HZ5

not attested not anchored not stored refs pending

GraphDAC: A Graph-Analytic Approach to Dynamic Airspace Configuration

Dahai Liu, Hong Liu, Houbing Song, Ke Feng, Yongxin Liu

arxiv:2307.15876 v1 · 2023-07-29 · math.OC · cs.LG · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRA26IOGFIEGOW6U7XPBYV4HZ5}

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	2026-07-05T06:35:55.651801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac41af21c62a08675bd4fdde1c5787cf493e123ee11cbba2e48da19f649243e2

Aliases

arxiv: 2307.15876 · arxiv_version: 2307.15876v1 · doi: 10.48550/arxiv.2307.15876 · pith_short_12: VRA26IOGFIEG · pith_short_16: VRA26IOGFIEGOW6U · pith_short_8: VRA26IOG

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/VRA26IOGFIEGOW6U7XPBYV4HZ5 \
  | 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: ac41af21c62a08675bd4fdde1c5787cf493e123ee11cbba2e48da19f649243e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f5889dede06a856cad79addbd0691653746ea19d4fe91cbba3b32d738d4f1a3",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-07-29T03:04:22Z",
    "title_canon_sha256": "421b9bf407ec038d5fff83afa5c7d8ee3ec84c7f4a859f0266c1c3cc5f0c4f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15876",
    "kind": "arxiv",
    "version": 1
  }
}