Pith Number

pith:RPEWC5O6

pith:2016:RPEWC5O6X7D74GSC3GX2E7RP7W

not attested not anchored not stored refs pending

Sufficient Conditions for Tuza's Conjecture on Packing and Covering Triangles

Xiaodong Hu, Xujin Chen, Zhongzheng Tang, Zhuo Diao

arxiv:1605.01816 v3 · 2016-05-06 · cs.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPEWC5O6X7D74GSC3GX2E7RP7W}

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	2026-05-18T01:13:47.097223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bc96175debfc7fe1a42d9afa27e2ffdb1a1d446666753155dc9cc89169e8acb

Aliases

arxiv: 1605.01816 · arxiv_version: 1605.01816v3 · doi: 10.48550/arxiv.1605.01816 · pith_short_12: RPEWC5O6X7D7 · pith_short_16: RPEWC5O6X7D74GSC · pith_short_8: RPEWC5O6

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/RPEWC5O6X7D74GSC3GX2E7RP7W \
  | 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: 8bc96175debfc7fe1a42d9afa27e2ffdb1a1d446666753155dc9cc89169e8acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1edce4960d0dff61c8adafba604d01c23984c623388fd60c4e399f9299a89181",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2016-05-06T04:17:12Z",
    "title_canon_sha256": "6b76553fcc660186357db69acb91f0ac541a79f17ff19506fba24df6fd5b15a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01816",
    "kind": "arxiv",
    "version": 3
  }
}