Pith Number

pith:XUGXAKJ6

pith:2010:XUGXAKJ6MLM2O3CGOTMWKQDJBH

not attested not anchored not stored refs pending

Lower Bounds for the Smoothed Number of Pareto optimal Solutions

Heiko Roeglin, Tobias Brunsch

arxiv:1012.1163 v1 · 2010-12-06 · 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{XUGXAKJ6MLM2O3CGOTMWKQDJBH}

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	2026-05-18T02:23:15.441840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd0d70293e62d9a76c4674d965406909f97b5799a03e18e7947908589b4f36fe

Aliases

arxiv: 1012.1163 · arxiv_version: 1012.1163v1 · doi: 10.48550/arxiv.1012.1163 · pith_short_12: XUGXAKJ6MLM2 · pith_short_16: XUGXAKJ6MLM2O3CG · pith_short_8: XUGXAKJ6

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/XUGXAKJ6MLM2O3CGOTMWKQDJBH \
  | 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: bd0d70293e62d9a76c4674d965406909f97b5799a03e18e7947908589b4f36fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d3e40d81c452b819bc217af3835d4f88cbd3d2ada2f09a3826c9b337396c92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-12-06T13:14:36Z",
    "title_canon_sha256": "8b955765e3d285f08f204d29f317abc88862cedb0989e30625716593395149b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1163",
    "kind": "arxiv",
    "version": 1
  }
}