Pith Number

pith:6EDQBDDA

pith:2018:6EDQBDDAP2FGJDCAIRZ3GQZMFB

not attested not anchored not stored refs pending

Price of Anarchy for Mean Field Games

Christy V. Graves, Rene Carmona, Zongjun Tan

arxiv:1802.04644 v2 · 2018-02-08 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EDQBDDAP2FGJDCAIRZ3GQZMFB}

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	2026-05-18T00:06:50.886690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f107008c607e8a648c404473b3432c28705e034322c3ddfeaa2f27f6a061efab

Aliases

arxiv: 1802.04644 · arxiv_version: 1802.04644v2 · doi: 10.48550/arxiv.1802.04644 · pith_short_12: 6EDQBDDAP2FG · pith_short_16: 6EDQBDDAP2FGJDCA · pith_short_8: 6EDQBDDA

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/6EDQBDDAP2FGJDCAIRZ3GQZMFB \
  | 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: f107008c607e8a648c404473b3432c28705e034322c3ddfeaa2f27f6a061efab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e64250a5de0c622b8d9b27ecc356c865b875a74b85485a68eee6ac0094f30c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-08T18:38:45Z",
    "title_canon_sha256": "9e9e24b08dd0f46d9122460e001fdf7fccf72687fb034da555ebde33d1769773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04644",
    "kind": "arxiv",
    "version": 2
  }
}