Pith Number

pith:TOLGVN5Z

pith:2026:TOLGVN5ZFS2W3MCZBKYARXTZLW

not attested not anchored not stored refs pending

Tight Algorithm and Hardness for Submodular Linear Ordering

Evan Abboud, Roy Schwartz

arxiv:2606.20202 v1 · 2026-06-18 · 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{TOLGVN5ZFS2W3MCZBKYARXTZLW}

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	2026-06-19T16:13:05.539283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b966ab7b92cb56db0590ab008de795d833f21e71ed7984b4d26e6b617686fbf

Aliases

arxiv: 2606.20202 · arxiv_version: 2606.20202v1 · doi: 10.48550/arxiv.2606.20202 · pith_short_12: TOLGVN5ZFS2W · pith_short_16: TOLGVN5ZFS2W3MCZ · pith_short_8: TOLGVN5Z

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/TOLGVN5ZFS2W3MCZBKYARXTZLW \
  | 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: 9b966ab7b92cb56db0590ab008de795d833f21e71ed7984b4d26e6b617686fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2aac92cc6221f71bc2bf74254ac47de50c7a8327438ac205c59b241fd500734",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-18T13:16:08Z",
    "title_canon_sha256": "fdf81700fed58451465d6a8f6866ab5121e8caf45b6596bc0cbba0afea57e2cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20202",
    "kind": "arxiv",
    "version": 1
  }
}