Pith Number

pith:3GWIC4AZ

pith:2026:3GWIC4AZVUUJILV5HHANM2KC4Z

not attested not anchored not stored refs pending

Approximation Algorithms for Perfect Fair-Triangle Packing

Brendan Mumey, Mingyang Gong, Zhi-Zhong Chen

arxiv:2608.07674 v1 · 2026-08-07 · 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{3GWIC4AZVUUJILV5HHANM2KC4Z}

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	2026-08-11T00:15:40.373503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9ac817019ad28942ebd39c0d66942e65a0064b0865f16bdfa826c79405dd451

Aliases

arxiv: 2608.07674 · arxiv_version: 2608.07674v1 · doi: 10.48550/arxiv.2608.07674 · pith_short_12: 3GWIC4AZVUUJ · pith_short_16: 3GWIC4AZVUUJILV5 · pith_short_8: 3GWIC4AZ

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/3GWIC4AZVUUJILV5HHANM2KC4Z \
  | 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: d9ac817019ad28942ebd39c0d66942e65a0064b0865f16bdfa826c79405dd451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b5948fd9bd2c2f01453dc8bfd6f06246e30d17cad02143c49e279da6952bcf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-08-07T18:01:30Z",
    "title_canon_sha256": "e993822fc7f22f5565d14dcf51b31d29e04f2a66d3e7003113fb19b47b63600e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07674",
    "kind": "arxiv",
    "version": 1
  }
}