Pith Number

pith:TCF2ILAO

pith:2024:TCF2ILAOOMDRSXGM3P7GX6Z7TS

not attested not anchored not stored refs pending

Minimizing Rosenthal's Potential in Monotone Congestion Games

Angelo Fanelli (LAMSADE), Christos Tsoufis (LAMSADE), Cosimo Vinci, Laurent Gourv\`es (LAMSADE), Vittorio Bil\`o

arxiv:2408.11489 v1 · 2024-08-21 · 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{TCF2ILAOOMDRSXGM3P7GX6Z7TS}

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	2026-07-05T08:57:44.819792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988ba42c0e7307195cccdbfe6bfb3f9c98efaefb73f84dcf3a58e8c1109b165f

Aliases

arxiv: 2408.11489 · arxiv_version: 2408.11489v1 · doi: 10.48550/arxiv.2408.11489 · pith_short_12: TCF2ILAOOMDR · pith_short_16: TCF2ILAOOMDRSXGM · pith_short_8: TCF2ILAO

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/TCF2ILAOOMDRSXGM3P7GX6Z7TS \
  | 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: 988ba42c0e7307195cccdbfe6bfb3f9c98efaefb73f84dcf3a58e8c1109b165f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ed261c4f976e228b434f3deaca252453ac2672425590fbeda162b2297a4366c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2024-08-21T09:58:42Z",
    "title_canon_sha256": "b91d1517ca01057098ecc154dfa3cde51bf9fbe1eb24bbcdf10a987a48b0e8ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.11489",
    "kind": "arxiv",
    "version": 1
  }
}