Pith Number

pith:NRMM2LZW

pith:2016:NRMM2LZWBRXJKHXBZZEJFUK7OD

not attested not anchored not stored refs pending

Performance Bounds for Nash Equilibria in Submodular Utility Systems with User Groups

Ali Pezeshki, Edwin K. P. Chong, Yajing Liu

arxiv:1603.04893 v3 · 2016-03-15 · math.OC · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRMM2LZWBRXJKHXBZZEJFUK7OD}

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	2026-05-18T00:33:02.522532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c58cd2f360c6e951ee1ce4892d15f70c5e8d63e81ad62fb1434df3867ac21cd

Aliases

arxiv: 1603.04893 · arxiv_version: 1603.04893v3 · doi: 10.48550/arxiv.1603.04893 · pith_short_12: NRMM2LZWBRXJ · pith_short_16: NRMM2LZWBRXJKHXB · pith_short_8: NRMM2LZW

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/NRMM2LZWBRXJKHXBZZEJFUK7OD \
  | 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: 6c58cd2f360c6e951ee1ce4892d15f70c5e8d63e81ad62fb1434df3867ac21cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a775710aabbe9d24a21382bba417e57fbd27b19521f78a0d11e5a254c9f13586",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-15T21:42:47Z",
    "title_canon_sha256": "fa94f7182bb8ef74f83668d313c9f01f13b17a8ab5bf5c63262977949d8ed8d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04893",
    "kind": "arxiv",
    "version": 3
  }
}