Pith Number

pith:2PJ5YX75

pith:2016:2PJ5YX75PYKAROBNFASER265V7

not attested not anchored not stored refs pending

Approximating set multi-covers

Alexandr Polyanskii, M\'arton Nasz\'odi

arxiv:1608.01292 v2 · 2016-08-03 · math.CO · cs.CC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PJ5YX75PYKAROBNFASER265V7}

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	2026-05-18T00:35:46.762561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d3dc5ffd7e1408b82d282448ebddaff6fd8c0aebf3c79f918adb966f3aaf41

Aliases

arxiv: 1608.01292 · arxiv_version: 1608.01292v2 · doi: 10.48550/arxiv.1608.01292 · pith_short_12: 2PJ5YX75PYKA · pith_short_16: 2PJ5YX75PYKAROBN · pith_short_8: 2PJ5YX75

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/2PJ5YX75PYKAROBNFASER265V7 \
  | 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: d3d3dc5ffd7e1408b82d282448ebddaff6fd8c0aebf3c79f918adb966f3aaf41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba423449e6de9827dbbc1227e9f4461d07e8426eaddb78165964bd5928ecaa76",
    "cross_cats_sorted": [
      "cs.CC",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-03T19:12:23Z",
    "title_canon_sha256": "17dcbab201745737011c7876ee96966064ff93c986eb4b4226444c30082a995a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01292",
    "kind": "arxiv",
    "version": 2
  }
}