Pith Number

pith:VJJMETZ3

pith:2016:VJJMETZ3CYIQYQLJRISBMOA6LZ

not attested not anchored not stored refs pending

Optimal Pricing for Submodular Valuations with Bounded Curvature

Hanna Sumita, Katsuya Tono, Ken-ichi Kawarabayashi, Takanori Maehara, Yasushi Kawase

arxiv:1611.07605 v1 · 2016-11-23 · cs.GT · 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{VJJMETZ3CYIQYQLJRISBMOA6LZ}

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	2026-05-18T00:57:00.345832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa52c24f3b16110c41698a2416381e5e66bd26f3a0865d81aa5794c5cfafc80f

Aliases

arxiv: 1611.07605 · arxiv_version: 1611.07605v1 · doi: 10.48550/arxiv.1611.07605 · pith_short_12: VJJMETZ3CYIQ · pith_short_16: VJJMETZ3CYIQYQLJ · pith_short_8: VJJMETZ3

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/VJJMETZ3CYIQYQLJRISBMOA6LZ \
  | 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: aa52c24f3b16110c41698a2416381e5e66bd26f3a0865d81aa5794c5cfafc80f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f26c757ba72394f1abbcb08fdb635f601fda4cf3a41fa150de5460f8cb0abef3",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-11-23T02:18:10Z",
    "title_canon_sha256": "25ed4808802bdb3d4b52df7b1327d88384a2b34cf129c9ace48ae1f1ebf7f13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07605",
    "kind": "arxiv",
    "version": 1
  }
}