Pith Number

pith:MLXNJ2LX

pith:2015:MLXNJ2LXG2U3JI64ID7FP5J67R

not attested not anchored not stored refs pending

A variational approach to second order mean field games with density constraints: the stationary case

Alp\'ar Rich\'ard M\'esz\'aros, Francisco J. Silva

arxiv:1502.06026 v3 · 2015-02-20 · 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{MLXNJ2LXG2U3JI64ID7FP5J67R}

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	2026-05-18T01:19:42.432879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62eed4e97736a9b4a3dc40fe57f53efc7b28eb77549c0c4a221f4bdf403b8a7d

Aliases

arxiv: 1502.06026 · arxiv_version: 1502.06026v3 · doi: 10.48550/arxiv.1502.06026 · pith_short_12: MLXNJ2LXG2U3 · pith_short_16: MLXNJ2LXG2U3JI64 · pith_short_8: MLXNJ2LX

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/MLXNJ2LXG2U3JI64ID7FP5J67R \
  | 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: 62eed4e97736a9b4a3dc40fe57f53efc7b28eb77549c0c4a221f4bdf403b8a7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f7642928b734e4d6b5e8915d2e377212ed0a27c754a738013dac3ff2cd273d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-20T22:40:38Z",
    "title_canon_sha256": "f40ada2f89e2d2b20b572fcf69de2a43dace3561d3eaaa5940046ef8f8dd62b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06026",
    "kind": "arxiv",
    "version": 3
  }
}