Pith Number

pith:QBASRGN7

pith:2019:QBASRGN7UVGT3ZZVNWGLNMHIRH

not attested not anchored not stored refs pending

Optimization Bounds from the Branching Dual

J. G. Benade, J. N. Hooker

arxiv:1908.07584 v1 · 2019-08-20 · 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{QBASRGN7UVGT3ZZVNWGLNMHIRH}

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	2026-07-04T23:58:59.383515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80412899bfa54d3de7356d8cb6b0e889d12cc7c1168c60e017293d4888704b24

Aliases

arxiv: 1908.07584 · arxiv_version: 1908.07584v1 · doi: 10.48550/arxiv.1908.07584 · pith_short_12: QBASRGN7UVGT · pith_short_16: QBASRGN7UVGT3ZZV · pith_short_8: QBASRGN7

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/QBASRGN7UVGT3ZZVNWGLNMHIRH \
  | 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: 80412899bfa54d3de7356d8cb6b0e889d12cc7c1168c60e017293d4888704b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df68829a41f1fff49714f361c574ee55c641da0f8fd0fcc0e1a4a061a8a1a0ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-08-20T19:45:46Z",
    "title_canon_sha256": "2b0642e77af2f2ed3ab7c4dc4d766dc4fdf81fdacfb42af4e1238ec6d3b698a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07584",
    "kind": "arxiv",
    "version": 1
  }
}