Pith Number

pith:EXUQSZID

pith:2026:EXUQSZIDAZOKSXWW4XEIXAXJHZ

not attested not anchored not stored refs pending

Fixed Budget vs. Covering Target: The Partial Set Cover Boundary for Bounded VC-Dimension

Anannya Upasana, Madhumita Kundu, Saket Saurabh, Souvik Saha

arxiv:2608.03801 v1 · 2026-08-04 · 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{EXUQSZIDAZOKSXWW4XEIXAXJHZ}

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	2026-08-05T01:37:08.982153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e9096503065ca95ed6e5c88b82e93e4c3079955bf0cd5f37b44d613f4cd82b

Aliases

arxiv: 2608.03801 · arxiv_version: 2608.03801v1 · doi: 10.48550/arxiv.2608.03801 · pith_short_12: EXUQSZIDAZOK · pith_short_16: EXUQSZIDAZOKSXWW · pith_short_8: EXUQSZID

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/EXUQSZIDAZOKSXWW4XEIXAXJHZ \
  | 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: 25e9096503065ca95ed6e5c88b82e93e4c3079955bf0cd5f37b44d613f4cd82b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c675de5721609aebba7b50c7bc9df56a8396ee50d177ec8d91e90dbe96a897",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-08-04T15:15:02Z",
    "title_canon_sha256": "75aed513d457984037fb8d9b6dee8583d478c6172d4feb59084b2bd18f157448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03801",
    "kind": "arxiv",
    "version": 1
  }
}