Pith Number

pith:5FUFUDSZ

pith:2023:5FUFUDSZ2QQHU3DX7LJMAT5WL3

not attested not anchored not stored refs pending

The Complexity of Optimizing Atomic Congestion

Cornelius Brand, Fionn Mc Inerney, Robert Ganian, Subrahmanyam Kalyanasundaram

arxiv:2312.10219 v2 · 2023-12-15 · cs.GT · cs.AI · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FUFUDSZ2QQHU3DX7LJMAT5WL3}

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	2026-07-05T09:23:46.138613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9685a0e59d4207a6c77fad2c04fb65ecb6264ce97ad427f2291240437d83deb

Aliases

arxiv: 2312.10219 · arxiv_version: 2312.10219v2 · doi: 10.48550/arxiv.2312.10219 · pith_short_12: 5FUFUDSZ2QQH · pith_short_16: 5FUFUDSZ2QQHU3DX · pith_short_8: 5FUFUDSZ

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/5FUFUDSZ2QQHU3DX7LJMAT5WL3 \
  | 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: e9685a0e59d4207a6c77fad2c04fb65ecb6264ce97ad427f2291240437d83deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1736a00a98a240620ecd4639460333eef5b378ae922734de075b65ac84474bf1",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2023-12-15T21:31:30Z",
    "title_canon_sha256": "a6c7363841ddd033b56bee702c17b3854338aa13b1806bdf68a8082bcf2be5fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10219",
    "kind": "arxiv",
    "version": 2
  }
}