pith. sign in
Pith Number

pith:I4T5JGP6

pith:2026:I4T5JGP6QUWUT3WLFCADHIHFDU
not attested not anchored not stored refs pending

Testing k-submodularity

Diptaksho Palit, Themistoklis Haris

arxiv:2606.30433 v1 · 2026-06-29 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{I4T5JGP6QUWUT3WLFCADHIHFDU}

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 2026-06-30T02:18:15.013615Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4727d499fe852d49eecb288033a0e51d0760f2f052122cc368b124b0e512d9d1

Aliases

arxiv: 2606.30433 · arxiv_version: 2606.30433v1 · doi: 10.48550/arxiv.2606.30433 · pith_short_12: I4T5JGP6QUWU · pith_short_16: I4T5JGP6QUWUT3WL · pith_short_8: I4T5JGP6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/I4T5JGP6QUWUT3WLFCADHIHFDU \
  | 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: 4727d499fe852d49eecb288033a0e51d0760f2f052122cc368b124b0e512d9d1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8e63848a0a30340546d3bcb7483b339065953bd976945852de63325a2f86fa70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-29T15:11:18Z",
    "title_canon_sha256": "62c5a62f7d09fd6fdf43dc2099c0b54458b16d25f565409458ab8f77ca2a62ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30433",
    "kind": "arxiv",
    "version": 1
  }
}