Pith Number

pith:5TREHINU

pith:2012:5TREHINU33FAEMYH6VUBC5RZUT

not attested not anchored not stored refs pending

Improving the H_k-Bound on the Price of Stability in Undirected Shapley Network Design Games

Andreas Emil Feldmann, Mat\'u\v{s} Mihal\'ak, Max Klimm, Yann Disser

arxiv:1211.2090 v2 · 2012-11-09 · 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{5TREHINU33FAEMYH6VUBC5RZUT}

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	2026-05-18T03:30:12.247420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece243a1b4deca023307f568117639a4f4af0bf8093d20b0b5d0e5afd697ff65

Aliases

arxiv: 1211.2090 · arxiv_version: 1211.2090v2 · doi: 10.48550/arxiv.1211.2090 · pith_short_12: 5TREHINU33FA · pith_short_16: 5TREHINU33FAEMYH · pith_short_8: 5TREHINU

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/5TREHINU33FAEMYH6VUBC5RZUT \
  | 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: ece243a1b4deca023307f568117639a4f4af0bf8093d20b0b5d0e5afd697ff65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e23b062caaaad766f2abce35d83b1b4c994ba34f5f0f4c579d279e6ea62e019b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-11-09T10:05:53Z",
    "title_canon_sha256": "29217b908e231a3179011e578816b74b7b3374f9d97c3b0ac628ea06cf9776d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2090",
    "kind": "arxiv",
    "version": 2
  }
}