Pith Number

pith:VUUEKND3

pith:2013:VUUEKND3CX4KMUIQIX7HC7B6AO

not attested not anchored not stored refs pending

On the Approximation of Submodular Functions

Ankit Sharma, Mohit Singh, Nikhil R. Devanur, Roy Schwartz, Shaddin Dughmi

arxiv:1304.4948 v1 · 2013-04-17 · 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{VUUEKND3CX4KMUIQIX7HC7B6AO}

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	2026-05-18T03:27:42.171720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2845347b15f8a6511045fe717c3e0386b40b61128f99b6a7ca4896a8086e5b

Aliases

arxiv: 1304.4948 · arxiv_version: 1304.4948v1 · doi: 10.48550/arxiv.1304.4948 · pith_short_12: VUUEKND3CX4K · pith_short_16: VUUEKND3CX4KMUIQ · pith_short_8: VUUEKND3

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/VUUEKND3CX4KMUIQIX7HC7B6AO \
  | 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: ad2845347b15f8a6511045fe717c3e0386b40b61128f99b6a7ca4896a8086e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e680be189a0706a7221177c590554362a2d5631b82ed437ad1677de6ca76f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-04-17T20:02:32Z",
    "title_canon_sha256": "6f2ba4ddff1a8e3a8c09d6d4b1e3291d2fd690245d0ce62eb0c48a3dc3570132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4948",
    "kind": "arxiv",
    "version": 1
  }
}