Pith Number

pith:WXR4W46F

pith:2017:WXR4W46FBO6PV6X3D4FUTVOJSQ

not attested not anchored not stored refs pending

Variational mean field games for market competition

Charafeddine Mouzouni, P. Jameson Graber

arxiv:1707.07853 v2 · 2017-07-25 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXR4W46FBO6PV6X3D4FUTVOJSQ}

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	2026-05-18T00:35:30.823541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e3cb73c50bbcfafafb1f0b49d5c994363f128dee5a713bff46e249486019c6

Aliases

arxiv: 1707.07853 · arxiv_version: 1707.07853v2 · doi: 10.48550/arxiv.1707.07853 · pith_short_12: WXR4W46FBO6P · pith_short_16: WXR4W46FBO6PV6X3 · pith_short_8: WXR4W46F

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/WXR4W46FBO6PV6X3D4FUTVOJSQ \
  | 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: b5e3cb73c50bbcfafafb1f0b49d5c994363f128dee5a713bff46e249486019c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba5390f8743ebac4ed6761b4c693621aea5cdaff6d6cf8fe3bd955280df9c87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-25T08:56:03Z",
    "title_canon_sha256": "0eaa246a924b5e3d69e9676aa25909187e8d56fe8c55f6adfc0014da04394821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07853",
    "kind": "arxiv",
    "version": 2
  }
}