Pith Number

pith:GCAMCO5V

pith:2026:GCAMCO5VTMNOH7VG5AGYGDNK3Y

not attested not anchored not stored refs pending

Robust logarithmic lower bound on shared-resource cost for $f$-routing

Kevin Bogner

arxiv:2608.05775 v1 · 2026-08-06 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCAMCO5VTMNOH7VG5AGYGDNK3Y}

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	2026-08-07T00:52:43.811329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3080c13bb59b1ae3fea6e80d830daade2f9e4ad03f78bcd499d162d08f64cb49

Aliases

arxiv: 2608.05775 · arxiv_version: 2608.05775v1 · doi: 10.48550/arxiv.2608.05775 · pith_short_12: GCAMCO5VTMNO · pith_short_16: GCAMCO5VTMNOH7VG · pith_short_8: GCAMCO5V

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/GCAMCO5VTMNOH7VG5AGYGDNK3Y \
  | 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: 3080c13bb59b1ae3fea6e80d830daade2f9e4ad03f78bcd499d162d08f64cb49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "640dc7fbedef91342d48954b80f4dde090c185b5b459d080e68340b06c47e7bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-06T09:09:44Z",
    "title_canon_sha256": "0e97c7e5e95d950c9395d4bc7e476d2ca510fba0d57fbde1b2d855ab70c59cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05775",
    "kind": "arxiv",
    "version": 1
  }
}