Pith Number

pith:2PRNKXNF

pith:2026:2PRNKXNFIUFOAKZGW34WNSOA3P

not attested not anchored not stored refs pending

Worst-Case Optimal BGPs on Temporal Graphs

Aidan Hogan, Diego Arroyuelo, Gonzalo Navarro, Juan Reutter

arxiv:2607.20356 v1 · 2026-07-22 · cs.DB · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PRNKXNFIUFOAKZGW34WNSOA3P}

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	2026-07-23T01:25:16.337040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e2d55da5450ae02b26b6f966c9c0dbc0a3e9e4781b235d7659c47f9e39e61a

Aliases

arxiv: 2607.20356 · arxiv_version: 2607.20356v1 · doi: 10.48550/arxiv.2607.20356 · pith_short_12: 2PRNKXNFIUFO · pith_short_16: 2PRNKXNFIUFOAKZG · pith_short_8: 2PRNKXNF

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/2PRNKXNFIUFOAKZGW34WNSOA3P \
  | 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: d3e2d55da5450ae02b26b6f966c9c0dbc0a3e9e4781b235d7659c47f9e39e61a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a43f21e3d7eade3a0ce505573eb93f40cdc68435f5351851f865229229eceb98",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2026-07-22T16:43:03Z",
    "title_canon_sha256": "18cd0637393c882ea4c4a07156c3e489f23c946931300af5c349d8c7baa1b769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20356",
    "kind": "arxiv",
    "version": 1
  }
}